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Finding the Fourth Proportional to 84,543.92, 126,816.96 and 40,175

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Solution

The fourth proportional to 84,543.92, 126,816.96 and 40,175 is: 60,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,543.92 : 126,816.96 = 40,175 : x
  2. Step 2: Convert to fraction form
    84,543.92/126,816.96 = 40,175/x
  3. Step 3: Cross multiply
    84,543.92x = 126,816.96 × 40,175
  4. Step 4: Simplify right side
    84,543.92x = 5,094,871,368
  5. Step 5: Solve for x
    x = 5,094,871,368/84,543.92
  6. Step 6: Final answer
    x = 60,263.01

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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.