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Finding the Fourth Proportional to 147,530.80, 221,004.60 and 80,851.60

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Solution

The fourth proportional to 147,530.80, 221,004.60 and 80,851.60 is: 121,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,530.80 : 221,004.60 = 80,851.60 : x
  2. Step 2: Convert to fraction form
    147,530.80/221,004.60 = 80,851.60/x
  3. Step 3: Cross multiply
    147,530.80x = 221,004.60 × 80,851.60
  4. Step 4: Simplify right side
    147,530.80x = 17,868,575,517.36
  5. Step 5: Solve for x
    x = 17,868,575,517.36/147,530.80
  6. Step 6: Final answer
    x = 121,117.59

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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.