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Finding the Fourth Proportional to 138,913.85, 191,700.65 and 75,251.57

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Solution

The fourth proportional to 138,913.85, 191,700.65 and 75,251.57 is: 103,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,913.85 : 191,700.65 = 75,251.57 : x
  2. Step 2: Convert to fraction form
    138,913.85/191,700.65 = 75,251.57/x
  3. Step 3: Cross multiply
    138,913.85x = 191,700.65 × 75,251.57
  4. Step 4: Simplify right side
    138,913.85x = 14,425,774,506.26
  5. Step 5: Solve for x
    x = 14,425,774,506.26/138,913.85
  6. Step 6: Final answer
    x = 103,846.91

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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.