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Finding the Fourth Proportional to 287,954.12, 431,901.96 and 77,613.32

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Solution

The fourth proportional to 287,954.12, 431,901.96 and 77,613.32 is: 116,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,954.12 : 431,901.96 = 77,613.32 : x
  2. Step 2: Convert to fraction form
    287,954.12/431,901.96 = 77,613.32/x
  3. Step 3: Cross multiply
    287,954.12x = 431,901.96 × 77,613.32
  4. Step 4: Simplify right side
    287,954.12x = 33,521,345,030.11
  5. Step 5: Solve for x
    x = 33,521,345,030.11/287,954.12
  6. Step 6: Final answer
    x = 116,412.10

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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.