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Finding the Fourth Proportional to 216,883.30, 299,298.92 and 121,390

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Solution

The fourth proportional to 216,883.30, 299,298.92 and 121,390 is: 167,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,883.30 : 299,298.92 = 121,390 : x
  2. Step 2: Convert to fraction form
    216,883.30/299,298.92 = 121,390/x
  3. Step 3: Cross multiply
    216,883.30x = 299,298.92 × 121,390
  4. Step 4: Simplify right side
    216,883.30x = 36,331,895,898.80
  5. Step 5: Solve for x
    x = 36,331,895,898.80/216,883.30
  6. Step 6: Final answer
    x = 167,518.18

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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.