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Finding the Fourth Proportional to 135,920, 187,569.60 and 76,304

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Solution

The fourth proportional to 135,920, 187,569.60 and 76,304 is: 105,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,920 : 187,569.60 = 76,304 : x
  2. Step 2: Convert to fraction form
    135,920/187,569.60 = 76,304/x
  3. Step 3: Cross multiply
    135,920x = 187,569.60 × 76,304
  4. Step 4: Simplify right side
    135,920x = 14,312,310,758.40
  5. Step 5: Solve for x
    x = 14,312,310,758.40/135,920
  6. Step 6: Final answer
    x = 105,299.52

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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.