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Finding the Fourth Proportional to 138,909.63, 191,695.32 and 75,247.44

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Solution

The fourth proportional to 138,909.63, 191,695.32 and 75,247.44 is: 103,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909.63 : 191,695.32 = 75,247.44 : x
  2. Step 2: Convert to fraction form
    138,909.63/191,695.32 = 75,247.44/x
  3. Step 3: Cross multiply
    138,909.63x = 191,695.32 × 75,247.44
  4. Step 4: Simplify right side
    138,909.63x = 14,424,582,089.98
  5. Step 5: Solve for x
    x = 14,424,582,089.98/138,909.63
  6. Step 6: Final answer
    x = 103,841.48

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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.