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Finding the Fourth Proportional to 205,711.68, 308,456.56 and 93,330.57

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Solution

The fourth proportional to 205,711.68, 308,456.56 and 93,330.57 is: 139,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,711.68 : 308,456.56 = 93,330.57 : x
  2. Step 2: Convert to fraction form
    205,711.68/308,456.56 = 93,330.57/x
  3. Step 3: Cross multiply
    205,711.68x = 308,456.56 × 93,330.57
  4. Step 4: Simplify right side
    205,711.68x = 28,788,426,565.04
  5. Step 5: Solve for x
    x = 28,788,426,565.04/205,711.68
  6. Step 6: Final answer
    x = 139,945.51

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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.