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Finding the Fourth Proportional to 64,382.16, 96,468 and 61,921.80

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Solution

The fourth proportional to 64,382.16, 96,468 and 61,921.80 is: 92,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,382.16 : 96,468 = 61,921.80 : x
  2. Step 2: Convert to fraction form
    64,382.16/96,468 = 61,921.80/x
  3. Step 3: Cross multiply
    64,382.16x = 96,468 × 61,921.80
  4. Step 4: Simplify right side
    64,382.16x = 5,973,472,202.40
  5. Step 5: Solve for x
    x = 5,973,472,202.40/64,382.16
  6. Step 6: Final answer
    x = 92,781.48

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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.