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Finding the Fourth Proportional to 287,977.97, 431,937.79 and 77,637.17

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Solution

The fourth proportional to 287,977.97, 431,937.79 and 77,637.17 is: 116,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,977.97 : 431,937.79 = 77,637.17 : x
  2. Step 2: Convert to fraction form
    287,977.97/431,937.79 = 77,637.17/x
  3. Step 3: Cross multiply
    287,977.97x = 431,937.79 × 77,637.17
  4. Step 4: Simplify right side
    287,977.97x = 33,534,427,631.65
  5. Step 5: Solve for x
    x = 33,534,427,631.65/287,977.97
  6. Step 6: Final answer
    x = 116,447.89

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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.