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Finding the Fourth Proportional to 126,089.60, 189,121.60 and 42,982.40

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Solution

The fourth proportional to 126,089.60, 189,121.60 and 42,982.40 is: 64,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,089.60 : 189,121.60 = 42,982.40 : x
  2. Step 2: Convert to fraction form
    126,089.60/189,121.60 = 42,982.40/x
  3. Step 3: Cross multiply
    126,089.60x = 189,121.60 × 42,982.40
  4. Step 4: Simplify right side
    126,089.60x = 8,128,900,259.84
  5. Step 5: Solve for x
    x = 8,128,900,259.84/126,089.60
  6. Step 6: Final answer
    x = 64,469.24

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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.