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Finding the Fourth Proportional to 145,557.68, 200,868.17 and 81,025.92

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Solution

The fourth proportional to 145,557.68, 200,868.17 and 81,025.92 is: 111,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,557.68 : 200,868.17 = 81,025.92 : x
  2. Step 2: Convert to fraction form
    145,557.68/200,868.17 = 81,025.92/x
  3. Step 3: Cross multiply
    145,557.68x = 200,868.17 × 81,025.92
  4. Step 4: Simplify right side
    145,557.68x = 16,275,527,867.84
  5. Step 5: Solve for x
    x = 16,275,527,867.84/145,557.68
  6. Step 6: Final answer
    x = 111,814.98

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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.