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Finding the Fourth Proportional to 61,205.10, 92,002.05 and 57,705.90

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Solution

The fourth proportional to 61,205.10, 92,002.05 and 57,705.90 is: 86,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.10 : 92,002.05 = 57,705.90 : x
  2. Step 2: Convert to fraction form
    61,205.10/92,002.05 = 57,705.90/x
  3. Step 3: Cross multiply
    61,205.10x = 92,002.05 × 57,705.90
  4. Step 4: Simplify right side
    61,205.10x = 5,309,061,097.10
  5. Step 5: Solve for x
    x = 5,309,061,097.10/61,205.10
  6. Step 6: Final answer
    x = 86,742.14

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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.