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Finding the Fourth Proportional to 83,950, 115,875.42 and 67,071.76

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Solution

The fourth proportional to 83,950, 115,875.42 and 67,071.76 is: 92,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,950 : 115,875.42 = 67,071.76 : x
  2. Step 2: Convert to fraction form
    83,950/115,875.42 = 67,071.76/x
  3. Step 3: Cross multiply
    83,950x = 115,875.42 × 67,071.76
  4. Step 4: Simplify right side
    83,950x = 7,771,968,360.14
  5. Step 5: Solve for x
    x = 7,771,968,360.14/83,950
  6. Step 6: Final answer
    x = 92,578.54

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