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Finding the Fourth Proportional to 216,475.66, 298,725.31 and 120,963.70

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Solution

The fourth proportional to 216,475.66, 298,725.31 and 120,963.70 is: 166,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,475.66 : 298,725.31 = 120,963.70 : x
  2. Step 2: Convert to fraction form
    216,475.66/298,725.31 = 120,963.70/x
  3. Step 3: Cross multiply
    216,475.66x = 298,725.31 × 120,963.70
  4. Step 4: Simplify right side
    216,475.66x = 36,134,918,781.25
  5. Step 5: Solve for x
    x = 36,134,918,781.25/216,475.66
  6. Step 6: Final answer
    x = 166,923.70

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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.