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Finding the Fourth Proportional to 145,384.96, 217,813.76 and 66,565.12

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Solution

The fourth proportional to 145,384.96, 217,813.76 and 66,565.12 is: 99,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,384.96 : 217,813.76 = 66,565.12 : x
  2. Step 2: Convert to fraction form
    145,384.96/217,813.76 = 66,565.12/x
  3. Step 3: Cross multiply
    145,384.96x = 217,813.76 × 66,565.12
  4. Step 4: Simplify right side
    145,384.96x = 14,498,799,072.05
  5. Step 5: Solve for x
    x = 14,498,799,072.05/145,384.96
  6. Step 6: Final answer
    x = 99,726.95

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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.