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Finding the Fourth Proportional to 126,478.72, 189,827.16 and 70,374.88

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Solution

The fourth proportional to 126,478.72, 189,827.16 and 70,374.88 is: 105,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,478.72 : 189,827.16 = 70,374.88 : x
  2. Step 2: Convert to fraction form
    126,478.72/189,827.16 = 70,374.88/x
  3. Step 3: Cross multiply
    126,478.72x = 189,827.16 × 70,374.88
  4. Step 4: Simplify right side
    126,478.72x = 13,359,063,605.74
  5. Step 5: Solve for x
    x = 13,359,063,605.74/126,478.72
  6. Step 6: Final answer
    x = 105,623.01

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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.