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Finding the Fourth Proportional to 287,880.96, 431,882.88 and 100,903.68

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Solution

The fourth proportional to 287,880.96, 431,882.88 and 100,903.68 is: 151,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,880.96 : 431,882.88 = 100,903.68 : x
  2. Step 2: Convert to fraction form
    287,880.96/431,882.88 = 100,903.68/x
  3. Step 3: Cross multiply
    287,880.96x = 431,882.88 × 100,903.68
  4. Step 4: Simplify right side
    287,880.96x = 43,578,571,921.00
  5. Step 5: Solve for x
    x = 43,578,571,921.00/287,880.96
  6. Step 6: Final answer
    x = 151,377.06

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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.