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Finding the Fourth Proportional to 159,459, 220,036.92 and 98,195.46

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Solution

The fourth proportional to 159,459, 220,036.92 and 98,195.46 is: 135,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,459 : 220,036.92 = 98,195.46 : x
  2. Step 2: Convert to fraction form
    159,459/220,036.92 = 98,195.46/x
  3. Step 3: Cross multiply
    159,459x = 220,036.92 × 98,195.46
  4. Step 4: Simplify right side
    159,459x = 21,606,626,576.38
  5. Step 5: Solve for x
    x = 21,606,626,576.38/159,459
  6. Step 6: Final answer
    x = 135,499.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.