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Finding the Fourth Proportional to 138,897.32, 191,678.22 and 75,234.96

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Solution

The fourth proportional to 138,897.32, 191,678.22 and 75,234.96 is: 103,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,897.32 : 191,678.22 = 75,234.96 : x
  2. Step 2: Convert to fraction form
    138,897.32/191,678.22 = 75,234.96/x
  3. Step 3: Cross multiply
    138,897.32x = 191,678.22 × 75,234.96
  4. Step 4: Simplify right side
    138,897.32x = 14,420,903,214.57
  5. Step 5: Solve for x
    x = 14,420,903,214.57/138,897.32
  6. Step 6: Final answer
    x = 103,824.20

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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.