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Finding the Fourth Proportional to 138,618.83, 191,294.19 and 74,956.63

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Solution

The fourth proportional to 138,618.83, 191,294.19 and 74,956.63 is: 103,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,618.83 : 191,294.19 = 74,956.63 : x
  2. Step 2: Convert to fraction form
    138,618.83/191,294.19 = 74,956.63/x
  3. Step 3: Cross multiply
    138,618.83x = 191,294.19 × 74,956.63
  4. Step 4: Simplify right side
    138,618.83x = 14,338,767,820.98
  5. Step 5: Solve for x
    x = 14,338,767,820.98/138,618.83
  6. Step 6: Final answer
    x = 103,440.26

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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.