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Finding the Fourth Proportional to 287,920.14, 431,958.68 and 88,236.10

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Solution

The fourth proportional to 287,920.14, 431,958.68 and 88,236.10 is: 132,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,920.14 : 431,958.68 = 88,236.10 : x
  2. Step 2: Convert to fraction form
    287,920.14/431,958.68 = 88,236.10/x
  3. Step 3: Cross multiply
    287,920.14x = 431,958.68 × 88,236.10
  4. Step 4: Simplify right side
    287,920.14x = 38,114,349,284.35
  5. Step 5: Solve for x
    x = 38,114,349,284.35/287,920.14
  6. Step 6: Final answer
    x = 132,378.20

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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.