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Finding the Fourth Proportional to 78,508.77, 108,295.87 and 49,390.74

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Solution

The fourth proportional to 78,508.77, 108,295.87 and 49,390.74 is: 68,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.77 : 108,295.87 = 49,390.74 : x
  2. Step 2: Convert to fraction form
    78,508.77/108,295.87 = 49,390.74/x
  3. Step 3: Cross multiply
    78,508.77x = 108,295.87 × 49,390.74
  4. Step 4: Simplify right side
    78,508.77x = 5,348,813,330.43
  5. Step 5: Solve for x
    x = 5,348,813,330.43/78,508.77
  6. Step 6: Final answer
    x = 68,130.14

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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.