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Finding the Fourth Proportional to 137,354.75, 206,102.44 and 65,389.10

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Solution

The fourth proportional to 137,354.75, 206,102.44 and 65,389.10 is: 98,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.75 : 206,102.44 = 65,389.10 : x
  2. Step 2: Convert to fraction form
    137,354.75/206,102.44 = 65,389.10/x
  3. Step 3: Cross multiply
    137,354.75x = 206,102.44 × 65,389.10
  4. Step 4: Simplify right side
    137,354.75x = 13,476,853,411.19
  5. Step 5: Solve for x
    x = 13,476,853,411.19/137,354.75
  6. Step 6: Final answer
    x = 98,117.13

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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.