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Finding the Fourth Proportional to 214,597,787.80, 321,896,681.70 and 78,287,618.20

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Solution

The fourth proportional to 214,597,787.80, 321,896,681.70 and 78,287,618.20 is: 117,431,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,597,787.80 : 321,896,681.70 = 78,287,618.20 : x
  2. Step 2: Convert to fraction form
    214,597,787.80/321,896,681.70 = 78,287,618.20/x
  3. Step 3: Cross multiply
    214,597,787.80x = 321,896,681.70 × 78,287,618.20
  4. Step 4: Simplify right side
    214,597,787.80x = 25,200,524,516,776,528
  5. Step 5: Solve for x
    x = 25,200,524,516,776,528/214,597,787.80
  6. Step 6: Final answer
    x = 117,431,427.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.