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Finding the Fourth Proportional to 52,605.60, 78,841.20 and 21,405.60

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Solution

The fourth proportional to 52,605.60, 78,841.20 and 21,405.60 is: 32,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.60 : 78,841.20 = 21,405.60 : x
  2. Step 2: Convert to fraction form
    52,605.60/78,841.20 = 21,405.60/x
  3. Step 3: Cross multiply
    52,605.60x = 78,841.20 × 21,405.60
  4. Step 4: Simplify right side
    52,605.60x = 1,687,643,190.72
  5. Step 5: Solve for x
    x = 1,687,643,190.72/52,605.60
  6. Step 6: Final answer
    x = 32,081.06

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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.