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Finding the Fourth Proportional to 138,541.68, 191,183.68 and 78,111.78

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Solution

The fourth proportional to 138,541.68, 191,183.68 and 78,111.78 is: 107,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,541.68 : 191,183.68 = 78,111.78 : x
  2. Step 2: Convert to fraction form
    138,541.68/191,183.68 = 78,111.78/x
  3. Step 3: Cross multiply
    138,541.68x = 191,183.68 × 78,111.78
  4. Step 4: Simplify right side
    138,541.68x = 14,933,697,834.43
  5. Step 5: Solve for x
    x = 14,933,697,834.43/138,541.68
  6. Step 6: Final answer
    x = 107,792.10

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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.