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Finding the Fourth Proportional to 216,872.70, 299,293.67 and 120,076.55

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Solution

The fourth proportional to 216,872.70, 299,293.67 and 120,076.55 is: 165,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,872.70 : 299,293.67 = 120,076.55 : x
  2. Step 2: Convert to fraction form
    216,872.70/299,293.67 = 120,076.55/x
  3. Step 3: Cross multiply
    216,872.70x = 299,293.67 × 120,076.55
  4. Step 4: Simplify right side
    216,872.70x = 35,938,152,415.67
  5. Step 5: Solve for x
    x = 35,938,152,415.67/216,872.70
  6. Step 6: Final answer
    x = 165,710.82

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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.