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Finding the Fourth Proportional to 287,530.39, 431,321.51 and 77,166.91

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Solution

The fourth proportional to 287,530.39, 431,321.51 and 77,166.91 is: 115,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,530.39 : 431,321.51 = 77,166.91 : x
  2. Step 2: Convert to fraction form
    287,530.39/431,321.51 = 77,166.91/x
  3. Step 3: Cross multiply
    287,530.39x = 431,321.51 × 77,166.91
  4. Step 4: Simplify right side
    287,530.39x = 33,283,748,143.23
  5. Step 5: Solve for x
    x = 33,283,748,143.23/287,530.39
  6. Step 6: Final answer
    x = 115,757.32

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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.