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Finding the Fourth Proportional to 138,901.11, 191,672.16 and 78,477

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Solution

The fourth proportional to 138,901.11, 191,672.16 and 78,477 is: 108,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,901.11 : 191,672.16 = 78,477 : x
  2. Step 2: Convert to fraction form
    138,901.11/191,672.16 = 78,477/x
  3. Step 3: Cross multiply
    138,901.11x = 191,672.16 × 78,477
  4. Step 4: Simplify right side
    138,901.11x = 15,041,856,100.32
  5. Step 5: Solve for x
    x = 15,041,856,100.32/138,901.11
  6. Step 6: Final answer
    x = 108,291.84

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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.