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Finding the Fourth Proportional to 55,920, 77,170.14 and 30,770.04

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Solution

The fourth proportional to 55,920, 77,170.14 and 30,770.04 is: 42,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,920 : 77,170.14 = 30,770.04 : x
  2. Step 2: Convert to fraction form
    55,920/77,170.14 = 30,770.04/x
  3. Step 3: Cross multiply
    55,920x = 77,170.14 × 30,770.04
  4. Step 4: Simplify right side
    55,920x = 2,374,528,294.61
  5. Step 5: Solve for x
    x = 2,374,528,294.61/55,920
  6. Step 6: Final answer
    x = 42,462.95

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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.