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Finding the Fourth Proportional to 78,679.68, 108,618.12 and 53,320

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Solution

The fourth proportional to 78,679.68, 108,618.12 and 53,320 is: 73,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.68 : 108,618.12 = 53,320 : x
  2. Step 2: Convert to fraction form
    78,679.68/108,618.12 = 53,320/x
  3. Step 3: Cross multiply
    78,679.68x = 108,618.12 × 53,320
  4. Step 4: Simplify right side
    78,679.68x = 5,791,518,158.40
  5. Step 5: Solve for x
    x = 5,791,518,158.40/78,679.68
  6. Step 6: Final answer
    x = 73,608.82

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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.