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Finding the Fourth Proportional to 135,757.40, 187,345.21 and 75,337.77

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Solution

The fourth proportional to 135,757.40, 187,345.21 and 75,337.77 is: 103,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,757.40 : 187,345.21 = 75,337.77 : x
  2. Step 2: Convert to fraction form
    135,757.40/187,345.21 = 75,337.77/x
  3. Step 3: Cross multiply
    135,757.40x = 187,345.21 × 75,337.77
  4. Step 4: Simplify right side
    135,757.40x = 14,114,169,416.31
  5. Step 5: Solve for x
    x = 14,114,169,416.31/135,757.40
  6. Step 6: Final answer
    x = 103,966.11

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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.