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Finding the Fourth Proportional to 216,881.72, 299,293.67 and 120,076.29

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Solution

The fourth proportional to 216,881.72, 299,293.67 and 120,076.29 is: 165,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,881.72 : 299,293.67 = 120,076.29 : x
  2. Step 2: Convert to fraction form
    216,881.72/299,293.67 = 120,076.29/x
  3. Step 3: Cross multiply
    216,881.72x = 299,293.67 × 120,076.29
  4. Step 4: Simplify right side
    216,881.72x = 35,938,073,514.08
  5. Step 5: Solve for x
    x = 35,938,073,514.08/216,881.72
  6. Step 6: Final answer
    x = 165,703.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.