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Finding the Fourth Proportional to 163,142.80, 225,233.59 and 102,765.20

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Solution

The fourth proportional to 163,142.80, 225,233.59 and 102,765.20 is: 141,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,142.80 : 225,233.59 = 102,765.20 : x
  2. Step 2: Convert to fraction form
    163,142.80/225,233.59 = 102,765.20/x
  3. Step 3: Cross multiply
    163,142.80x = 225,233.59 × 102,765.20
  4. Step 4: Simplify right side
    163,142.80x = 23,146,174,923.07
  5. Step 5: Solve for x
    x = 23,146,174,923.07/163,142.80
  6. Step 6: Final answer
    x = 141,876.78

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1.5x scale

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.