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Finding the Fourth Proportional to 138,663.63, 191,355.78 and 78,233.73

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Solution

The fourth proportional to 138,663.63, 191,355.78 and 78,233.73 is: 107,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,663.63 : 191,355.78 = 78,233.73 : x
  2. Step 2: Convert to fraction form
    138,663.63/191,355.78 = 78,233.73/x
  3. Step 3: Cross multiply
    138,663.63x = 191,355.78 × 78,233.73
  4. Step 4: Simplify right side
    138,663.63x = 14,970,476,426.46
  5. Step 5: Solve for x
    x = 14,970,476,426.46/138,663.63
  6. Step 6: Final answer
    x = 107,962.53

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1.5x scale

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.