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Finding the Fourth Proportional to 138,767.16, 191,503.62 and 78,348.54

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Solution

The fourth proportional to 138,767.16, 191,503.62 and 78,348.54 is: 108,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,767.16 : 191,503.62 = 78,348.54 : x
  2. Step 2: Convert to fraction form
    138,767.16/191,503.62 = 78,348.54/x
  3. Step 3: Cross multiply
    138,767.16x = 191,503.62 × 78,348.54
  4. Step 4: Simplify right side
    138,767.16x = 15,004,029,031.71
  5. Step 5: Solve for x
    x = 15,004,029,031.71/138,767.16
  6. Step 6: Final answer
    x = 108,123.77

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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.