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Finding the Fourth Proportional to 53,509.60, 80,458.80 and 52,343.20

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Solution

The fourth proportional to 53,509.60, 80,458.80 and 52,343.20 is: 78,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,509.60 : 80,458.80 = 52,343.20 : x
  2. Step 2: Convert to fraction form
    53,509.60/80,458.80 = 52,343.20/x
  3. Step 3: Cross multiply
    53,509.60x = 80,458.80 × 52,343.20
  4. Step 4: Simplify right side
    53,509.60x = 4,211,471,060.16
  5. Step 5: Solve for x
    x = 4,211,471,060.16/53,509.60
  6. Step 6: Final answer
    x = 78,704.96

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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.