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Finding the Fourth Proportional to 84,543.64, 116,643.81 and 48,728.78

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Solution

The fourth proportional to 84,543.64, 116,643.81 and 48,728.78 is: 67,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,543.64 : 116,643.81 = 48,728.78 : x
  2. Step 2: Convert to fraction form
    84,543.64/116,643.81 = 48,728.78/x
  3. Step 3: Cross multiply
    84,543.64x = 116,643.81 × 48,728.78
  4. Step 4: Simplify right side
    84,543.64x = 5,683,910,555.85
  5. Step 5: Solve for x
    x = 5,683,910,555.85/84,543.64
  6. Step 6: Final answer
    x = 67,230.49

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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.