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Finding the Fourth Proportional to 138,886.34, 191,659.56 and 78,463.22

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Solution

The fourth proportional to 138,886.34, 191,659.56 and 78,463.22 is: 108,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.34 : 191,659.56 = 78,463.22 : x
  2. Step 2: Convert to fraction form
    138,886.34/191,659.56 = 78,463.22/x
  3. Step 3: Cross multiply
    138,886.34x = 191,659.56 × 78,463.22
  4. Step 4: Simplify right side
    138,886.34x = 15,038,226,221.38
  5. Step 5: Solve for x
    x = 15,038,226,221.38/138,886.34
  6. Step 6: Final answer
    x = 108,277.22

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1.5x scale

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.