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Finding the Fourth Proportional to 137,600.10, 206,594.55 and 85,112.10

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Solution

The fourth proportional to 137,600.10, 206,594.55 and 85,112.10 is: 127,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600.10 : 206,594.55 = 85,112.10 : x
  2. Step 2: Convert to fraction form
    137,600.10/206,594.55 = 85,112.10/x
  3. Step 3: Cross multiply
    137,600.10x = 206,594.55 × 85,112.10
  4. Step 4: Simplify right side
    137,600.10x = 17,583,695,999.06
  5. Step 5: Solve for x
    x = 17,583,695,999.06/137,600.10
  6. Step 6: Final answer
    x = 127,788.40

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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.