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Finding the Fourth Proportional to 138,715.16, 191,425.56 and 75,051.56

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Solution

The fourth proportional to 138,715.16, 191,425.56 and 75,051.56 is: 103,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,715.16 : 191,425.56 = 75,051.56 : x
  2. Step 2: Convert to fraction form
    138,715.16/191,425.56 = 75,051.56/x
  3. Step 3: Cross multiply
    138,715.16x = 191,425.56 × 75,051.56
  4. Step 4: Simplify right side
    138,715.16x = 14,366,786,901.87
  5. Step 5: Solve for x
    x = 14,366,786,901.87/138,715.16
  6. Step 6: Final answer
    x = 103,570.42

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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.