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Finding the Fourth Proportional to 138,776.52, 191,511.56 and 75,114.84

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Solution

The fourth proportional to 138,776.52, 191,511.56 and 75,114.84 is: 103,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,776.52 : 191,511.56 = 75,114.84 : x
  2. Step 2: Convert to fraction form
    138,776.52/191,511.56 = 75,114.84/x
  3. Step 3: Cross multiply
    138,776.52x = 191,511.56 × 75,114.84
  4. Step 4: Simplify right side
    138,776.52x = 14,385,360,187.55
  5. Step 5: Solve for x
    x = 14,385,360,187.55/138,776.52
  6. Step 6: Final answer
    x = 103,658.46

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1.5x scale

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.