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Finding the Fourth Proportional to 79,643.28, 109,951.92 and 47,820

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Solution

The fourth proportional to 79,643.28, 109,951.92 and 47,820 is: 66,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,643.28 : 109,951.92 = 47,820 : x
  2. Step 2: Convert to fraction form
    79,643.28/109,951.92 = 47,820/x
  3. Step 3: Cross multiply
    79,643.28x = 109,951.92 × 47,820
  4. Step 4: Simplify right side
    79,643.28x = 5,257,900,814.40
  5. Step 5: Solve for x
    x = 5,257,900,814.40/79,643.28
  6. Step 6: Final answer
    x = 66,018.14

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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.