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Finding the Fourth Proportional to 138,654.86, 191,339.30 and 78,224.70

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Solution

The fourth proportional to 138,654.86, 191,339.30 and 78,224.70 is: 107,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654.86 : 191,339.30 = 78,224.70 : x
  2. Step 2: Convert to fraction form
    138,654.86/191,339.30 = 78,224.70/x
  3. Step 3: Cross multiply
    138,654.86x = 191,339.30 × 78,224.70
  4. Step 4: Simplify right side
    138,654.86x = 14,967,459,536.27
  5. Step 5: Solve for x
    x = 14,967,459,536.27/138,654.86
  6. Step 6: Final answer
    x = 107,947.60

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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.