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Finding the Fourth Proportional to 138,959.10, 191,795.04 and 78,564.72

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Solution

The fourth proportional to 138,959.10, 191,795.04 and 78,564.72 is: 108,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.10 : 191,795.04 = 78,564.72 : x
  2. Step 2: Convert to fraction form
    138,959.10/191,795.04 = 78,564.72/x
  3. Step 3: Cross multiply
    138,959.10x = 191,795.04 × 78,564.72
  4. Step 4: Simplify right side
    138,959.10x = 15,068,323,614.99
  5. Step 5: Solve for x
    x = 15,068,323,614.99/138,959.10
  6. Step 6: Final answer
    x = 108,437.11

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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.