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Finding the Fourth Proportional to 216,635.69, 298,985.10 and 121,147.76

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Solution

The fourth proportional to 216,635.69, 298,985.10 and 121,147.76 is: 167,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,635.69 : 298,985.10 = 121,147.76 : x
  2. Step 2: Convert to fraction form
    216,635.69/298,985.10 = 121,147.76/x
  3. Step 3: Cross multiply
    216,635.69x = 298,985.10 × 121,147.76
  4. Step 4: Simplify right side
    216,635.69x = 36,221,375,138.38
  5. Step 5: Solve for x
    x = 36,221,375,138.38/216,635.69
  6. Step 6: Final answer
    x = 167,199.48

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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.