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Finding the Fourth Proportional to 76,862, 106,071.18 and 43,328

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Solution

The fourth proportional to 76,862, 106,071.18 and 43,328 is: 59,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,862 : 106,071.18 = 43,328 : x
  2. Step 2: Convert to fraction form
    76,862/106,071.18 = 43,328/x
  3. Step 3: Cross multiply
    76,862x = 106,071.18 × 43,328
  4. Step 4: Simplify right side
    76,862x = 4,595,852,087.04
  5. Step 5: Solve for x
    x = 4,595,852,087.04/76,862
  6. Step 6: Final answer
    x = 59,793.55

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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.