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Finding the Fourth Proportional to 216,859.96, 299,267 and 121,389.40

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Solution

The fourth proportional to 216,859.96, 299,267 and 121,389.40 is: 167,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,859.96 : 299,267 = 121,389.40 : x
  2. Step 2: Convert to fraction form
    216,859.96/299,267 = 121,389.40/x
  3. Step 3: Cross multiply
    216,859.96x = 299,267 × 121,389.40
  4. Step 4: Simplify right side
    216,859.96x = 36,327,841,569.80
  5. Step 5: Solve for x
    x = 36,327,841,569.80/216,859.96
  6. Step 6: Final answer
    x = 167,517.51

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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.