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Finding the Fourth Proportional to 126,031.60, 189,047.40 and 105,295.60

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Solution

The fourth proportional to 126,031.60, 189,047.40 and 105,295.60 is: 157,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,031.60 : 189,047.40 = 105,295.60 : x
  2. Step 2: Convert to fraction form
    126,031.60/189,047.40 = 105,295.60/x
  3. Step 3: Cross multiply
    126,031.60x = 189,047.40 × 105,295.60
  4. Step 4: Simplify right side
    126,031.60x = 19,905,859,411.44
  5. Step 5: Solve for x
    x = 19,905,859,411.44/126,031.60
  6. Step 6: Final answer
    x = 157,943.40

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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.