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Finding the Fourth Proportional to 138,752.56, 191,478.52 and 75,090.37

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Solution

The fourth proportional to 138,752.56, 191,478.52 and 75,090.37 is: 103,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.56 : 191,478.52 = 75,090.37 : x
  2. Step 2: Convert to fraction form
    138,752.56/191,478.52 = 75,090.37/x
  3. Step 3: Cross multiply
    138,752.56x = 191,478.52 × 75,090.37
  4. Step 4: Simplify right side
    138,752.56x = 14,378,192,913.85
  5. Step 5: Solve for x
    x = 14,378,192,913.85/138,752.56
  6. Step 6: Final answer
    x = 103,624.70

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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.