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Finding the Fourth Proportional to 136,648.09, 204,685.08 and 86,702.47

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Solution

The fourth proportional to 136,648.09, 204,685.08 and 86,702.47 is: 129,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,648.09 : 204,685.08 = 86,702.47 : x
  2. Step 2: Convert to fraction form
    136,648.09/204,685.08 = 86,702.47/x
  3. Step 3: Cross multiply
    136,648.09x = 204,685.08 × 86,702.47
  4. Step 4: Simplify right side
    136,648.09x = 17,746,702,008.15
  5. Step 5: Solve for x
    x = 17,746,702,008.15/136,648.09
  6. Step 6: Final answer
    x = 129,871.57

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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.