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Finding the Fourth Proportional to 138,057.60, 207,055.38 and 53,788.86

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Solution

The fourth proportional to 138,057.60, 207,055.38 and 53,788.86 is: 80,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.60 : 207,055.38 = 53,788.86 : x
  2. Step 2: Convert to fraction form
    138,057.60/207,055.38 = 53,788.86/x
  3. Step 3: Cross multiply
    138,057.60x = 207,055.38 × 53,788.86
  4. Step 4: Simplify right side
    138,057.60x = 11,137,272,847.07
  5. Step 5: Solve for x
    x = 11,137,272,847.07/138,057.60
  6. Step 6: Final answer
    x = 80,671.20

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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.