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Finding the Fourth Proportional to 136,970.57, 205,502.01 and 86,310.77

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Solution

The fourth proportional to 136,970.57, 205,502.01 and 86,310.77 is: 129,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970.57 : 205,502.01 = 86,310.77 : x
  2. Step 2: Convert to fraction form
    136,970.57/205,502.01 = 86,310.77/x
  3. Step 3: Cross multiply
    136,970.57x = 205,502.01 × 86,310.77
  4. Step 4: Simplify right side
    136,970.57x = 17,737,035,853.97
  5. Step 5: Solve for x
    x = 17,737,035,853.97/136,970.57
  6. Step 6: Final answer
    x = 129,495.23

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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.