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Finding the Fourth Proportional to 287,814.30, 431,722.49 and 88,133.87

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Solution

The fourth proportional to 287,814.30, 431,722.49 and 88,133.87 is: 132,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,814.30 : 431,722.49 = 88,133.87 : x
  2. Step 2: Convert to fraction form
    287,814.30/431,722.49 = 88,133.87/x
  3. Step 3: Cross multiply
    287,814.30x = 431,722.49 × 88,133.87
  4. Step 4: Simplify right side
    287,814.30x = 38,049,371,210.45
  5. Step 5: Solve for x
    x = 38,049,371,210.45/287,814.30
  6. Step 6: Final answer
    x = 132,201.11

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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.