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Finding the Fourth Proportional to 79,702.76, 109,984.74 and 47,873

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Solution

The fourth proportional to 79,702.76, 109,984.74 and 47,873 is: 66,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,702.76 : 109,984.74 = 47,873 : x
  2. Step 2: Convert to fraction form
    79,702.76/109,984.74 = 47,873/x
  3. Step 3: Cross multiply
    79,702.76x = 109,984.74 × 47,873
  4. Step 4: Simplify right side
    79,702.76x = 5,265,299,458.02
  5. Step 5: Solve for x
    x = 5,265,299,458.02/79,702.76
  6. Step 6: Final answer
    x = 66,061.70

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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.