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Finding the Fourth Proportional to 216,871.68, 299,214.72 and 121,363.20

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Solution

The fourth proportional to 216,871.68, 299,214.72 and 121,363.20 is: 167,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,871.68 : 299,214.72 = 121,363.20 : x
  2. Step 2: Convert to fraction form
    216,871.68/299,214.72 = 121,363.20/x
  3. Step 3: Cross multiply
    216,871.68x = 299,214.72 × 121,363.20
  4. Step 4: Simplify right side
    216,871.68x = 36,313,655,906.30
  5. Step 5: Solve for x
    x = 36,313,655,906.30/216,871.68
  6. Step 6: Final answer
    x = 167,443.05

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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.