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Finding the Fourth Proportional to 137,846.10, 206,963.55 and 85,358.10

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Solution

The fourth proportional to 137,846.10, 206,963.55 and 85,358.10 is: 128,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.10 : 206,963.55 = 85,358.10 : x
  2. Step 2: Convert to fraction form
    137,846.10/206,963.55 = 85,358.10/x
  3. Step 3: Cross multiply
    137,846.10x = 206,963.55 × 85,358.10
  4. Step 4: Simplify right side
    137,846.10x = 17,666,015,397.26
  5. Step 5: Solve for x
    x = 17,666,015,397.26/137,846.10
  6. Step 6: Final answer
    x = 128,157.53

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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.