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Finding the Fourth Proportional to 138,739.60, 207,648.60 and 97,267.60

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Solution

The fourth proportional to 138,739.60, 207,648.60 and 97,267.60 is: 145,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,739.60 : 207,648.60 = 97,267.60 : x
  2. Step 2: Convert to fraction form
    138,739.60/207,648.60 = 97,267.60/x
  3. Step 3: Cross multiply
    138,739.60x = 207,648.60 × 97,267.60
  4. Step 4: Simplify right side
    138,739.60x = 20,197,480,965.36
  5. Step 5: Solve for x
    x = 20,197,480,965.36/138,739.60
  6. Step 6: Final answer
    x = 145,578.34

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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.