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Finding the Fourth Proportional to 53,470.80, 80,206.20 and 38,437.20

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Solution

The fourth proportional to 53,470.80, 80,206.20 and 38,437.20 is: 57,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470.80 : 80,206.20 = 38,437.20 : x
  2. Step 2: Convert to fraction form
    53,470.80/80,206.20 = 38,437.20/x
  3. Step 3: Cross multiply
    53,470.80x = 80,206.20 × 38,437.20
  4. Step 4: Simplify right side
    53,470.80x = 3,082,901,750.64
  5. Step 5: Solve for x
    x = 3,082,901,750.64/53,470.80
  6. Step 6: Final answer
    x = 57,655.80

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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.