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Finding the Fourth Proportional to 105,711.52, 145,886.30 and 57,966.68

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Solution

The fourth proportional to 105,711.52, 145,886.30 and 57,966.68 is: 79,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.52 : 145,886.30 = 57,966.68 : x
  2. Step 2: Convert to fraction form
    105,711.52/145,886.30 = 57,966.68/x
  3. Step 3: Cross multiply
    105,711.52x = 145,886.30 × 57,966.68
  4. Step 4: Simplify right side
    105,711.52x = 8,456,544,468.48
  5. Step 5: Solve for x
    x = 8,456,544,468.48/105,711.52
  6. Step 6: Final answer
    x = 79,996.43

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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.