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Finding the Fourth Proportional to 136,176, 187,922.88 and 76,560

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Solution

The fourth proportional to 136,176, 187,922.88 and 76,560 is: 105,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176 : 187,922.88 = 76,560 : x
  2. Step 2: Convert to fraction form
    136,176/187,922.88 = 76,560/x
  3. Step 3: Cross multiply
    136,176x = 187,922.88 × 76,560
  4. Step 4: Simplify right side
    136,176x = 14,387,375,692.80
  5. Step 5: Solve for x
    x = 14,387,375,692.80/136,176
  6. Step 6: Final answer
    x = 105,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.