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Finding the Fourth Proportional to 216,951.84, 299,404.80 and 121,452.84

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Solution

The fourth proportional to 216,951.84, 299,404.80 and 121,452.84 is: 167,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,951.84 : 299,404.80 = 121,452.84 : x
  2. Step 2: Convert to fraction form
    216,951.84/299,404.80 = 121,452.84/x
  3. Step 3: Cross multiply
    216,951.84x = 299,404.80 × 121,452.84
  4. Step 4: Simplify right side
    216,951.84x = 36,363,563,269.63
  5. Step 5: Solve for x
    x = 36,363,563,269.63/216,951.84
  6. Step 6: Final answer
    x = 167,611.22

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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.