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Finding the Fourth Proportional to 287,987.57, 431,932.13 and 77,576.30

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Solution

The fourth proportional to 287,987.57, 431,932.13 and 77,576.30 is: 116,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,987.57 : 431,932.13 = 77,576.30 : x
  2. Step 2: Convert to fraction form
    287,987.57/431,932.13 = 77,576.30/x
  3. Step 3: Cross multiply
    287,987.57x = 431,932.13 × 77,576.30
  4. Step 4: Simplify right side
    287,987.57x = 33,507,696,496.52
  5. Step 5: Solve for x
    x = 33,507,696,496.52/287,987.57
  6. Step 6: Final answer
    x = 116,351.19

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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.