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Finding the Fourth Proportional to 78,618.90, 108,502.74 and 48,398.16

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Solution

The fourth proportional to 78,618.90, 108,502.74 and 48,398.16 is: 66,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,618.90 : 108,502.74 = 48,398.16 : x
  2. Step 2: Convert to fraction form
    78,618.90/108,502.74 = 48,398.16/x
  3. Step 3: Cross multiply
    78,618.90x = 108,502.74 × 48,398.16
  4. Step 4: Simplify right side
    78,618.90x = 5,251,332,970.96
  5. Step 5: Solve for x
    x = 5,251,332,970.96/78,618.90
  6. Step 6: Final answer
    x = 66,794.79

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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.