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Finding the Fourth Proportional to 81,971, 122,985.66 and 40,447.16

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Solution

The fourth proportional to 81,971, 122,985.66 and 40,447.16 is: 60,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,971 : 122,985.66 = 40,447.16 : x
  2. Step 2: Convert to fraction form
    81,971/122,985.66 = 40,447.16/x
  3. Step 3: Cross multiply
    81,971x = 122,985.66 × 40,447.16
  4. Step 4: Simplify right side
    81,971x = 4,974,420,667.73
  5. Step 5: Solve for x
    x = 4,974,420,667.73/81,971
  6. Step 6: Final answer
    x = 60,685.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.