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Finding the Fourth Proportional to 216,461.34, 298,717.75 and 120,969.63

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Solution

The fourth proportional to 216,461.34, 298,717.75 and 120,969.63 is: 166,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461.34 : 298,717.75 = 120,969.63 : x
  2. Step 2: Convert to fraction form
    216,461.34/298,717.75 = 120,969.63/x
  3. Step 3: Cross multiply
    216,461.34x = 298,717.75 × 120,969.63
  4. Step 4: Simplify right side
    216,461.34x = 36,135,775,691.93
  5. Step 5: Solve for x
    x = 36,135,775,691.93/216,461.34
  6. Step 6: Final answer
    x = 166,938.70

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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.