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Finding the Fourth Proportional to 146,428, 202,002.96 and 85,979.20

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Solution

The fourth proportional to 146,428, 202,002.96 and 85,979.20 is: 118,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,428 : 202,002.96 = 85,979.20 : x
  2. Step 2: Convert to fraction form
    146,428/202,002.96 = 85,979.20/x
  3. Step 3: Cross multiply
    146,428x = 202,002.96 × 85,979.20
  4. Step 4: Simplify right side
    146,428x = 17,368,052,898.43
  5. Step 5: Solve for x
    x = 17,368,052,898.43/146,428
  6. Step 6: Final answer
    x = 118,611.56

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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.