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Finding the Fourth Proportional to 82,449,130.80, 123,720,935.40 and 31,367,809.20

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Solution

The fourth proportional to 82,449,130.80, 123,720,935.40 and 31,367,809.20 is: 47,069,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449,130.80 : 123,720,935.40 = 31,367,809.20 : x
  2. Step 2: Convert to fraction form
    82,449,130.80/123,720,935.40 = 31,367,809.20/x
  3. Step 3: Cross multiply
    82,449,130.80x = 123,720,935.40 × 31,367,809.20
  4. Step 4: Simplify right side
    82,449,130.80x = 3,880,854,695,672,726
  5. Step 5: Solve for x
    x = 3,880,854,695,672,726/82,449,130.80
  6. Step 6: Final answer
    x = 47,069,685.98

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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.