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Finding the Fourth Proportional to 126,602.20, 189,903.30 and 81,987.40

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Solution

The fourth proportional to 126,602.20, 189,903.30 and 81,987.40 is: 122,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,602.20 : 189,903.30 = 81,987.40 : x
  2. Step 2: Convert to fraction form
    126,602.20/189,903.30 = 81,987.40/x
  3. Step 3: Cross multiply
    126,602.20x = 189,903.30 × 81,987.40
  4. Step 4: Simplify right side
    126,602.20x = 15,569,677,818.42
  5. Step 5: Solve for x
    x = 15,569,677,818.42/126,602.20
  6. Step 6: Final answer
    x = 122,981.10

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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.