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Finding the Fourth Proportional to 216,567.30, 298,863.54 and 121,074

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Solution

The fourth proportional to 216,567.30, 298,863.54 and 121,074 is: 167,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,567.30 : 298,863.54 = 121,074 : x
  2. Step 2: Convert to fraction form
    216,567.30/298,863.54 = 121,074/x
  3. Step 3: Cross multiply
    216,567.30x = 298,863.54 × 121,074
  4. Step 4: Simplify right side
    216,567.30x = 36,184,604,241.96
  5. Step 5: Solve for x
    x = 36,184,604,241.96/216,567.30
  6. Step 6: Final answer
    x = 167,082.49

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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.