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Finding the Fourth Proportional to 126,407, 189,641.70 and 37,660.16

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Solution

The fourth proportional to 126,407, 189,641.70 and 37,660.16 is: 56,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,407 : 189,641.70 = 37,660.16 : x
  2. Step 2: Convert to fraction form
    126,407/189,641.70 = 37,660.16/x
  3. Step 3: Cross multiply
    126,407x = 189,641.70 × 37,660.16
  4. Step 4: Simplify right side
    126,407x = 7,141,936,764.67
  5. Step 5: Solve for x
    x = 7,141,936,764.67/126,407
  6. Step 6: Final answer
    x = 56,499.54

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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.