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Finding the Fourth Proportional to 138,687.36, 191,388.32 and 75,024.96

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Solution

The fourth proportional to 138,687.36, 191,388.32 and 75,024.96 is: 103,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,687.36 : 191,388.32 = 75,024.96 : x
  2. Step 2: Convert to fraction form
    138,687.36/191,388.32 = 75,024.96/x
  3. Step 3: Cross multiply
    138,687.36x = 191,388.32 × 75,024.96
  4. Step 4: Simplify right side
    138,687.36x = 14,358,901,052.47
  5. Step 5: Solve for x
    x = 14,358,901,052.47/138,687.36
  6. Step 6: Final answer
    x = 103,534.32

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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.