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Finding the Fourth Proportional to 145,572.14, 200,889.14 and 81,909.95

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Solution

The fourth proportional to 145,572.14, 200,889.14 and 81,909.95 is: 113,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572.14 : 200,889.14 = 81,909.95 : x
  2. Step 2: Convert to fraction form
    145,572.14/200,889.14 = 81,909.95/x
  3. Step 3: Cross multiply
    145,572.14x = 200,889.14 × 81,909.95
  4. Step 4: Simplify right side
    145,572.14x = 16,454,817,998.95
  5. Step 5: Solve for x
    x = 16,454,817,998.95/145,572.14
  6. Step 6: Final answer
    x = 113,035.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.