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Finding the Fourth Proportional to 138,970.98, 191,780.11 and 75,308.22

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Solution

The fourth proportional to 138,970.98, 191,780.11 and 75,308.22 is: 103,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,970.98 : 191,780.11 = 75,308.22 : x
  2. Step 2: Convert to fraction form
    138,970.98/191,780.11 = 75,308.22/x
  3. Step 3: Cross multiply
    138,970.98x = 191,780.11 × 75,308.22
  4. Step 4: Simplify right side
    138,970.98x = 14,442,618,715.50
  5. Step 5: Solve for x
    x = 14,442,618,715.50/138,970.98
  6. Step 6: Final answer
    x = 103,925.43

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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.