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Finding the Fourth Proportional to 107,281.81, 160,920 and 51,161.59

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Solution

The fourth proportional to 107,281.81, 160,920 and 51,161.59 is: 76,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,281.81 : 160,920 = 51,161.59 : x
  2. Step 2: Convert to fraction form
    107,281.81/160,920 = 51,161.59/x
  3. Step 3: Cross multiply
    107,281.81x = 160,920 × 51,161.59
  4. Step 4: Simplify right side
    107,281.81x = 8,232,923,062.80
  5. Step 5: Solve for x
    x = 8,232,923,062.80/107,281.81
  6. Step 6: Final answer
    x = 76,741.09

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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.