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Finding the Fourth Proportional to 138,809.70, 191,557.15 and 75,147.48

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Solution

The fourth proportional to 138,809.70, 191,557.15 and 75,147.48 is: 103,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809.70 : 191,557.15 = 75,147.48 : x
  2. Step 2: Convert to fraction form
    138,809.70/191,557.15 = 75,147.48/x
  3. Step 3: Cross multiply
    138,809.70x = 191,557.15 × 75,147.48
  4. Step 4: Simplify right side
    138,809.70x = 14,395,036,910.61
  5. Step 5: Solve for x
    x = 14,395,036,910.61/138,809.70
  6. Step 6: Final answer
    x = 103,703.39

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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.