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Finding the Fourth Proportional to 79,253.76, 109,371.42 and 47,424

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Solution

The fourth proportional to 79,253.76, 109,371.42 and 47,424 is: 65,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,253.76 : 109,371.42 = 47,424 : x
  2. Step 2: Convert to fraction form
    79,253.76/109,371.42 = 47,424/x
  3. Step 3: Cross multiply
    79,253.76x = 109,371.42 × 47,424
  4. Step 4: Simplify right side
    79,253.76x = 5,186,830,222.08
  5. Step 5: Solve for x
    x = 5,186,830,222.08/79,253.76
  6. Step 6: Final answer
    x = 65,445.86

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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.