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Finding the Fourth Proportional to 61,280.64, 91,855.44 and 31,690.80

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Solution

The fourth proportional to 61,280.64, 91,855.44 and 31,690.80 is: 47,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,280.64 : 91,855.44 = 31,690.80 : x
  2. Step 2: Convert to fraction form
    61,280.64/91,855.44 = 31,690.80/x
  3. Step 3: Cross multiply
    61,280.64x = 91,855.44 × 31,690.80
  4. Step 4: Simplify right side
    61,280.64x = 2,910,972,377.95
  5. Step 5: Solve for x
    x = 2,910,972,377.95/61,280.64
  6. Step 6: Final answer
    x = 47,502.32

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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.