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Finding the Fourth Proportional to 138,509.60, 207,764.40 and 45,024.80

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Solution

The fourth proportional to 138,509.60, 207,764.40 and 45,024.80 is: 67,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,509.60 : 207,764.40 = 45,024.80 : x
  2. Step 2: Convert to fraction form
    138,509.60/207,764.40 = 45,024.80/x
  3. Step 3: Cross multiply
    138,509.60x = 207,764.40 × 45,024.80
  4. Step 4: Simplify right side
    138,509.60x = 9,354,550,557.12
  5. Step 5: Solve for x
    x = 9,354,550,557.12/138,509.60
  6. Step 6: Final answer
    x = 67,537.20

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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.