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Finding the Fourth Proportional to 146,139.96, 219,080.34 and 71,218.20

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Solution

The fourth proportional to 146,139.96, 219,080.34 and 71,218.20 is: 106,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139.96 : 219,080.34 = 71,218.20 : x
  2. Step 2: Convert to fraction form
    146,139.96/219,080.34 = 71,218.20/x
  3. Step 3: Cross multiply
    146,139.96x = 219,080.34 × 71,218.20
  4. Step 4: Simplify right side
    146,139.96x = 15,602,507,470.19
  5. Step 5: Solve for x
    x = 15,602,507,470.19/146,139.96
  6. Step 6: Final answer
    x = 106,764.14

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1.5x scale

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.