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Finding the Fourth Proportional to 107,947.40, 161,661.90 and 87,211.40

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Solution

The fourth proportional to 107,947.40, 161,661.90 and 87,211.40 is: 130,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947.40 : 161,661.90 = 87,211.40 : x
  2. Step 2: Convert to fraction form
    107,947.40/161,661.90 = 87,211.40/x
  3. Step 3: Cross multiply
    107,947.40x = 161,661.90 × 87,211.40
  4. Step 4: Simplify right side
    107,947.40x = 14,098,760,625.66
  5. Step 5: Solve for x
    x = 14,098,760,625.66/107,947.40
  6. Step 6: Final answer
    x = 130,607.69

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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.