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Finding the Fourth Proportional to 138,722.34, 191,437.49 and 78,295.53

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Solution

The fourth proportional to 138,722.34, 191,437.49 and 78,295.53 is: 108,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.34 : 191,437.49 = 78,295.53 : x
  2. Step 2: Convert to fraction form
    138,722.34/191,437.49 = 78,295.53/x
  3. Step 3: Cross multiply
    138,722.34x = 191,437.49 × 78,295.53
  4. Step 4: Simplify right side
    138,722.34x = 14,988,699,741.42
  5. Step 5: Solve for x
    x = 14,988,699,741.42/138,722.34
  6. Step 6: Final answer
    x = 108,048.20

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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.