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Finding the Fourth Proportional to 138,458.40, 191,073.33 and 78,029.97

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Solution

The fourth proportional to 138,458.40, 191,073.33 and 78,029.97 is: 107,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.40 : 191,073.33 = 78,029.97 : x
  2. Step 2: Convert to fraction form
    138,458.40/191,073.33 = 78,029.97/x
  3. Step 3: Cross multiply
    138,458.40x = 191,073.33 × 78,029.97
  4. Step 4: Simplify right side
    138,458.40x = 14,909,446,207.70
  5. Step 5: Solve for x
    x = 14,909,446,207.70/138,458.40
  6. Step 6: Final answer
    x = 107,681.77

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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.