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Finding the Fourth Proportional to 213,710.10, 320,565.15 and 89,034.90

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Solution

The fourth proportional to 213,710.10, 320,565.15 and 89,034.90 is: 133,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.10 : 320,565.15 = 89,034.90 : x
  2. Step 2: Convert to fraction form
    213,710.10/320,565.15 = 89,034.90/x
  3. Step 3: Cross multiply
    213,710.10x = 320,565.15 × 89,034.90
  4. Step 4: Simplify right side
    213,710.10x = 28,541,486,073.74
  5. Step 5: Solve for x
    x = 28,541,486,073.74/213,710.10
  6. Step 6: Final answer
    x = 133,552.35

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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.