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Finding the Fourth Proportional to 163,070.28, 225,092.25 and 102,742.02

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Solution

The fourth proportional to 163,070.28, 225,092.25 and 102,742.02 is: 141,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,070.28 : 225,092.25 = 102,742.02 : x
  2. Step 2: Convert to fraction form
    163,070.28/225,092.25 = 102,742.02/x
  3. Step 3: Cross multiply
    163,070.28x = 225,092.25 × 102,742.02
  4. Step 4: Simplify right side
    163,070.28x = 23,126,432,451.35
  5. Step 5: Solve for x
    x = 23,126,432,451.35/163,070.28
  6. Step 6: Final answer
    x = 141,818.81

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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.