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Finding the Fourth Proportional to 61,842, 92,640.12 and 30,581.84

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Solution

The fourth proportional to 61,842, 92,640.12 and 30,581.84 is: 45,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842 : 92,640.12 = 30,581.84 : x
  2. Step 2: Convert to fraction form
    61,842/92,640.12 = 30,581.84/x
  3. Step 3: Cross multiply
    61,842x = 92,640.12 × 30,581.84
  4. Step 4: Simplify right side
    61,842x = 2,833,105,327.42
  5. Step 5: Solve for x
    x = 2,833,105,327.42/61,842
  6. Step 6: Final answer
    x = 45,811.99

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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.