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Finding the Fourth Proportional to 78,908.80, 108,894.74 and 43,098.16

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Solution

The fourth proportional to 78,908.80, 108,894.74 and 43,098.16 is: 59,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,908.80 : 108,894.74 = 43,098.16 : x
  2. Step 2: Convert to fraction form
    78,908.80/108,894.74 = 43,098.16/x
  3. Step 3: Cross multiply
    78,908.80x = 108,894.74 × 43,098.16
  4. Step 4: Simplify right side
    78,908.80x = 4,693,162,927.68
  5. Step 5: Solve for x
    x = 4,693,162,927.68/78,908.80
  6. Step 6: Final answer
    x = 59,475.79

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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.