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Finding the Fourth Proportional to 136,934.10, 205,401.15 and 77,885.10

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Solution

The fourth proportional to 136,934.10, 205,401.15 and 77,885.10 is: 116,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,934.10 : 205,401.15 = 77,885.10 : x
  2. Step 2: Convert to fraction form
    136,934.10/205,401.15 = 77,885.10/x
  3. Step 3: Cross multiply
    136,934.10x = 205,401.15 × 77,885.10
  4. Step 4: Simplify right side
    136,934.10x = 15,997,689,107.87
  5. Step 5: Solve for x
    x = 15,997,689,107.87/136,934.10
  6. Step 6: Final answer
    x = 116,827.65

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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.