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Finding the Fourth Proportional to 65,718.72, 90,702.24 and 41,856

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Solution

The fourth proportional to 65,718.72, 90,702.24 and 41,856 is: 57,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.72 : 90,702.24 = 41,856 : x
  2. Step 2: Convert to fraction form
    65,718.72/90,702.24 = 41,856/x
  3. Step 3: Cross multiply
    65,718.72x = 90,702.24 × 41,856
  4. Step 4: Simplify right side
    65,718.72x = 3,796,432,957.44
  5. Step 5: Solve for x
    x = 3,796,432,957.44/65,718.72
  6. Step 6: Final answer
    x = 57,767.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.