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Finding the Fourth Proportional to 61,427.70, 92,105.10 and 31,903.20

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Solution

The fourth proportional to 61,427.70, 92,105.10 and 31,903.20 is: 47,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,427.70 : 92,105.10 = 31,903.20 : x
  2. Step 2: Convert to fraction form
    61,427.70/92,105.10 = 31,903.20/x
  3. Step 3: Cross multiply
    61,427.70x = 92,105.10 × 31,903.20
  4. Step 4: Simplify right side
    61,427.70x = 2,938,447,426.32
  5. Step 5: Solve for x
    x = 2,938,447,426.32/61,427.70
  6. Step 6: Final answer
    x = 47,835.87

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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.