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Finding the Fourth Proportional to 69,201.60, 103,802.40 and 52,612.80

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Solution

The fourth proportional to 69,201.60, 103,802.40 and 52,612.80 is: 78,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201.60 : 103,802.40 = 52,612.80 : x
  2. Step 2: Convert to fraction form
    69,201.60/103,802.40 = 52,612.80/x
  3. Step 3: Cross multiply
    69,201.60x = 103,802.40 × 52,612.80
  4. Step 4: Simplify right side
    69,201.60x = 5,461,334,910.72
  5. Step 5: Solve for x
    x = 5,461,334,910.72/69,201.60
  6. Step 6: Final answer
    x = 78,919.20

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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.