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Finding the Fourth Proportional to 138,788.64, 191,527.74 and 78,358.59

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Solution

The fourth proportional to 138,788.64, 191,527.74 and 78,358.59 is: 108,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,788.64 : 191,527.74 = 78,358.59 : x
  2. Step 2: Convert to fraction form
    138,788.64/191,527.74 = 78,358.59/x
  3. Step 3: Cross multiply
    138,788.64x = 191,527.74 × 78,358.59
  4. Step 4: Simplify right side
    138,788.64x = 15,007,843,652.29
  5. Step 5: Solve for x
    x = 15,007,843,652.29/138,788.64
  6. Step 6: Final answer
    x = 108,134.52

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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.