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Finding the Fourth Proportional to 52,615.20, 78,769.20 and 47,085.60

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Solution

The fourth proportional to 52,615.20, 78,769.20 and 47,085.60 is: 70,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615.20 : 78,769.20 = 47,085.60 : x
  2. Step 2: Convert to fraction form
    52,615.20/78,769.20 = 47,085.60/x
  3. Step 3: Cross multiply
    52,615.20x = 78,769.20 × 47,085.60
  4. Step 4: Simplify right side
    52,615.20x = 3,708,895,043.52
  5. Step 5: Solve for x
    x = 3,708,895,043.52/52,615.20
  6. Step 6: Final answer
    x = 70,490.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.