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Finding the Fourth Proportional to 78,695.61, 108,596.77 and 42,884.85

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Solution

The fourth proportional to 78,695.61, 108,596.77 and 42,884.85 is: 59,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.61 : 108,596.77 = 42,884.85 : x
  2. Step 2: Convert to fraction form
    78,695.61/108,596.77 = 42,884.85/x
  3. Step 3: Cross multiply
    78,695.61x = 108,596.77 × 42,884.85
  4. Step 4: Simplify right side
    78,695.61x = 4,657,156,191.93
  5. Step 5: Solve for x
    x = 4,657,156,191.93/78,695.61
  6. Step 6: Final answer
    x = 59,179.36

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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.