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Finding the Fourth Proportional to 136,909.80, 205,364.70 and 77,927.40

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Solution

The fourth proportional to 136,909.80, 205,364.70 and 77,927.40 is: 116,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,909.80 : 205,364.70 = 77,927.40 : x
  2. Step 2: Convert to fraction form
    136,909.80/205,364.70 = 77,927.40/x
  3. Step 3: Cross multiply
    136,909.80x = 205,364.70 × 77,927.40
  4. Step 4: Simplify right side
    136,909.80x = 16,003,537,122.78
  5. Step 5: Solve for x
    x = 16,003,537,122.78/136,909.80
  6. Step 6: Final answer
    x = 116,891.10

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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.