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Finding the Fourth Proportional to 135,780.71, 187,371.83 and 75,353.90

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Solution

The fourth proportional to 135,780.71, 187,371.83 and 75,353.90 is: 103,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780.71 : 187,371.83 = 75,353.90 : x
  2. Step 2: Convert to fraction form
    135,780.71/187,371.83 = 75,353.90/x
  3. Step 3: Cross multiply
    135,780.71x = 187,371.83 × 75,353.90
  4. Step 4: Simplify right side
    135,780.71x = 14,119,197,392.16
  5. Step 5: Solve for x
    x = 14,119,197,392.16/135,780.71
  6. Step 6: Final answer
    x = 103,985.30

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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.