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Finding the Fourth Proportional to 61,347, 92,042.10 and 30,204.12

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Solution

The fourth proportional to 61,347, 92,042.10 and 30,204.12 is: 45,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,347 : 92,042.10 = 30,204.12 : x
  2. Step 2: Convert to fraction form
    61,347/92,042.10 = 30,204.12/x
  3. Step 3: Cross multiply
    61,347x = 92,042.10 × 30,204.12
  4. Step 4: Simplify right side
    61,347x = 2,780,050,633.45
  5. Step 5: Solve for x
    x = 2,780,050,633.45/61,347
  6. Step 6: Final answer
    x = 45,316.81

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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.