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Finding the Fourth Proportional to 147,200.40, 220,627.80 and 68,147.64

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Solution

The fourth proportional to 147,200.40, 220,627.80 and 68,147.64 is: 102,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,200.40 : 220,627.80 = 68,147.64 : x
  2. Step 2: Convert to fraction form
    147,200.40/220,627.80 = 68,147.64/x
  3. Step 3: Cross multiply
    147,200.40x = 220,627.80 × 68,147.64
  4. Step 4: Simplify right side
    147,200.40x = 15,035,263,888.39
  5. Step 5: Solve for x
    x = 15,035,263,888.39/147,200.40
  6. Step 6: Final answer
    x = 102,141.46

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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.