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Finding the Fourth Proportional to 216,441.90, 298,689.12 and 120,948.57

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Solution

The fourth proportional to 216,441.90, 298,689.12 and 120,948.57 is: 166,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,441.90 : 298,689.12 = 120,948.57 : x
  2. Step 2: Convert to fraction form
    216,441.90/298,689.12 = 120,948.57/x
  3. Step 3: Cross multiply
    216,441.90x = 298,689.12 × 120,948.57
  4. Step 4: Simplify right side
    216,441.90x = 36,126,021,938.56
  5. Step 5: Solve for x
    x = 36,126,021,938.56/216,441.90
  6. Step 6: Final answer
    x = 166,908.63

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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.