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Finding the Fourth Proportional to 138,892.19, 191,669.79 and 78,462.74

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Solution

The fourth proportional to 138,892.19, 191,669.79 and 78,462.74 is: 108,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,892.19 : 191,669.79 = 78,462.74 : x
  2. Step 2: Convert to fraction form
    138,892.19/191,669.79 = 78,462.74/x
  3. Step 3: Cross multiply
    138,892.19x = 191,669.79 × 78,462.74
  4. Step 4: Simplify right side
    138,892.19x = 15,038,937,672.03
  5. Step 5: Solve for x
    x = 15,038,937,672.03/138,892.19
  6. Step 6: Final answer
    x = 108,277.78

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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.