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Finding the Fourth Proportional to 81,081, 121,567.32 and 33,683.76

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Solution

The fourth proportional to 81,081, 121,567.32 and 33,683.76 is: 50,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,081 : 121,567.32 = 33,683.76 : x
  2. Step 2: Convert to fraction form
    81,081/121,567.32 = 33,683.76/x
  3. Step 3: Cross multiply
    81,081x = 121,567.32 × 33,683.76
  4. Step 4: Simplify right side
    81,081x = 4,094,844,430.72
  5. Step 5: Solve for x
    x = 4,094,844,430.72/81,081
  6. Step 6: Final answer
    x = 50,503.13

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1.5x scale

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.