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Finding the Fourth Proportional to 78,655.38, 108,581.76 and 50,377.74

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Solution

The fourth proportional to 78,655.38, 108,581.76 and 50,377.74 is: 69,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,655.38 : 108,581.76 = 50,377.74 : x
  2. Step 2: Convert to fraction form
    78,655.38/108,581.76 = 50,377.74/x
  3. Step 3: Cross multiply
    78,655.38x = 108,581.76 × 50,377.74
  4. Step 4: Simplify right side
    78,655.38x = 5,470,103,674.02
  5. Step 5: Solve for x
    x = 5,470,103,674.02/78,655.38
  6. Step 6: Final answer
    x = 69,545.19

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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.