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Finding the Fourth Proportional to 52,409.60, 78,614.40 and 52,020.80

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Solution

The fourth proportional to 52,409.60, 78,614.40 and 52,020.80 is: 78,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.60 : 78,614.40 = 52,020.80 : x
  2. Step 2: Convert to fraction form
    52,409.60/78,614.40 = 52,020.80/x
  3. Step 3: Cross multiply
    52,409.60x = 78,614.40 × 52,020.80
  4. Step 4: Simplify right side
    52,409.60x = 4,089,583,979.52
  5. Step 5: Solve for x
    x = 4,089,583,979.52/52,409.60
  6. Step 6: Final answer
    x = 78,031.20

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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.