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Finding the Fourth Proportional to 272,937.30, 409,463.55 and 85,967.70

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Solution

The fourth proportional to 272,937.30, 409,463.55 and 85,967.70 is: 128,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,937.30 : 409,463.55 = 85,967.70 : x
  2. Step 2: Convert to fraction form
    272,937.30/409,463.55 = 85,967.70/x
  3. Step 3: Cross multiply
    272,937.30x = 409,463.55 × 85,967.70
  4. Step 4: Simplify right side
    272,937.30x = 35,200,639,627.34
  5. Step 5: Solve for x
    x = 35,200,639,627.34/272,937.30
  6. Step 6: Final answer
    x = 128,969.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.