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Finding the Fourth Proportional to 136,971.57, 205,503.51 and 86,311.77

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Solution

The fourth proportional to 136,971.57, 205,503.51 and 86,311.77 is: 129,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,971.57 : 205,503.51 = 86,311.77 : x
  2. Step 2: Convert to fraction form
    136,971.57/205,503.51 = 86,311.77/x
  3. Step 3: Cross multiply
    136,971.57x = 205,503.51 × 86,311.77
  4. Step 4: Simplify right side
    136,971.57x = 17,737,371,689.31
  5. Step 5: Solve for x
    x = 17,737,371,689.31/136,971.57
  6. Step 6: Final answer
    x = 129,496.74

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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.