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Finding the Fourth Proportional to 138,784.28, 191,521.55 and 78,354.37

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Solution

The fourth proportional to 138,784.28, 191,521.55 and 78,354.37 is: 108,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784.28 : 191,521.55 = 78,354.37 : x
  2. Step 2: Convert to fraction form
    138,784.28/191,521.55 = 78,354.37/x
  3. Step 3: Cross multiply
    138,784.28x = 191,521.55 × 78,354.37
  4. Step 4: Simplify right side
    138,784.28x = 15,006,549,042.29
  5. Step 5: Solve for x
    x = 15,006,549,042.29/138,784.28
  6. Step 6: Final answer
    x = 108,128.59

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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.