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Finding the Fourth Proportional to 287,687.13, 431,530.07 and 77,325.06

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Solution

The fourth proportional to 287,687.13, 431,530.07 and 77,325.06 is: 115,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,687.13 : 431,530.07 = 77,325.06 : x
  2. Step 2: Convert to fraction form
    287,687.13/431,530.07 = 77,325.06/x
  3. Step 3: Cross multiply
    287,687.13x = 431,530.07 × 77,325.06
  4. Step 4: Simplify right side
    287,687.13x = 33,368,088,167.93
  5. Step 5: Solve for x
    x = 33,368,088,167.93/287,687.13
  6. Step 6: Final answer
    x = 115,987.42

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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.