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Finding the Fourth Proportional to 287,762.72, 431,644.26 and 77,421.92

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Solution

The fourth proportional to 287,762.72, 431,644.26 and 77,421.92 is: 116,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762.72 : 431,644.26 = 77,421.92 : x
  2. Step 2: Convert to fraction form
    287,762.72/431,644.26 = 77,421.92/x
  3. Step 3: Cross multiply
    287,762.72x = 431,644.26 × 77,421.92
  4. Step 4: Simplify right side
    287,762.72x = 33,418,727,366.18
  5. Step 5: Solve for x
    x = 33,418,727,366.18/287,762.72
  6. Step 6: Final answer
    x = 116,132.93

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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.