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Finding the Fourth Proportional to 138,447.52, 191,044.58 and 78,008.20

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Solution

The fourth proportional to 138,447.52, 191,044.58 and 78,008.20 is: 107,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,447.52 : 191,044.58 = 78,008.20 : x
  2. Step 2: Convert to fraction form
    138,447.52/191,044.58 = 78,008.20/x
  3. Step 3: Cross multiply
    138,447.52x = 191,044.58 × 78,008.20
  4. Step 4: Simplify right side
    138,447.52x = 14,903,043,805.56
  5. Step 5: Solve for x
    x = 14,903,043,805.56/138,447.52
  6. Step 6: Final answer
    x = 107,643.99

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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.