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Finding the Fourth Proportional to 136,497.60, 204,775.55 and 47,754

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Solution

The fourth proportional to 136,497.60, 204,775.55 and 47,754 is: 71,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,497.60 : 204,775.55 = 47,754 : x
  2. Step 2: Convert to fraction form
    136,497.60/204,775.55 = 47,754/x
  3. Step 3: Cross multiply
    136,497.60x = 204,775.55 × 47,754
  4. Step 4: Simplify right side
    136,497.60x = 9,778,851,734.09
  5. Step 5: Solve for x
    x = 9,778,851,734.09/136,497.60
  6. Step 6: Final answer
    x = 71,641.20

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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.