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Finding the Fourth Proportional to 61,702.56, 92,515.44 and 28,380

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Solution

The fourth proportional to 61,702.56, 92,515.44 and 28,380 is: 42,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,702.56 : 92,515.44 = 28,380 : x
  2. Step 2: Convert to fraction form
    61,702.56/92,515.44 = 28,380/x
  3. Step 3: Cross multiply
    61,702.56x = 92,515.44 × 28,380
  4. Step 4: Simplify right side
    61,702.56x = 2,625,588,187.20
  5. Step 5: Solve for x
    x = 2,625,588,187.20/61,702.56
  6. Step 6: Final answer
    x = 42,552.34

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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.