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Finding the Fourth Proportional to 216,880.30, 299,294.78 and 121,387

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Solution

The fourth proportional to 216,880.30, 299,294.78 and 121,387 is: 167,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880.30 : 299,294.78 = 121,387 : x
  2. Step 2: Convert to fraction form
    216,880.30/299,294.78 = 121,387/x
  3. Step 3: Cross multiply
    216,880.30x = 299,294.78 × 121,387
  4. Step 4: Simplify right side
    216,880.30x = 36,330,495,459.86
  5. Step 5: Solve for x
    x = 36,330,495,459.86/216,880.30
  6. Step 6: Final answer
    x = 167,514.04

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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.