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Finding the Fourth Proportional to 80,242.42, 110,726.82 and 47,970.66

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Solution

The fourth proportional to 80,242.42, 110,726.82 and 47,970.66 is: 66,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,242.42 : 110,726.82 = 47,970.66 : x
  2. Step 2: Convert to fraction form
    80,242.42/110,726.82 = 47,970.66/x
  3. Step 3: Cross multiply
    80,242.42x = 110,726.82 × 47,970.66
  4. Step 4: Simplify right side
    80,242.42x = 5,311,638,635.10
  5. Step 5: Solve for x
    x = 5,311,638,635.10/80,242.42
  6. Step 6: Final answer
    x = 66,194.90

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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.