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Finding the Fourth Proportional to 53,447.60, 80,365.80 and 52,281.20

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Solution

The fourth proportional to 53,447.60, 80,365.80 and 52,281.20 is: 78,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,447.60 : 80,365.80 = 52,281.20 : x
  2. Step 2: Convert to fraction form
    53,447.60/80,365.80 = 52,281.20/x
  3. Step 3: Cross multiply
    53,447.60x = 80,365.80 × 52,281.20
  4. Step 4: Simplify right side
    53,447.60x = 4,201,620,462.96
  5. Step 5: Solve for x
    x = 4,201,620,462.96/53,447.60
  6. Step 6: Final answer
    x = 78,611.96

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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.