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Finding the Fourth Proportional to 138,887.70, 191,665.32 and 75,225.50

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Solution

The fourth proportional to 138,887.70, 191,665.32 and 75,225.50 is: 103,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,887.70 : 191,665.32 = 75,225.50 : x
  2. Step 2: Convert to fraction form
    138,887.70/191,665.32 = 75,225.50/x
  3. Step 3: Cross multiply
    138,887.70x = 191,665.32 × 75,225.50
  4. Step 4: Simplify right side
    138,887.70x = 14,418,119,529.66
  5. Step 5: Solve for x
    x = 14,418,119,529.66/138,887.70
  6. Step 6: Final answer
    x = 103,811.35

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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.