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Finding the Fourth Proportional to 272,802.30, 409,203.45 and 85,871.10

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Solution

The fourth proportional to 272,802.30, 409,203.45 and 85,871.10 is: 128,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802.30 : 409,203.45 = 85,871.10 : x
  2. Step 2: Convert to fraction form
    272,802.30/409,203.45 = 85,871.10/x
  3. Step 3: Cross multiply
    272,802.30x = 409,203.45 × 85,871.10
  4. Step 4: Simplify right side
    272,802.30x = 35,138,750,375.30
  5. Step 5: Solve for x
    x = 35,138,750,375.30/272,802.30
  6. Step 6: Final answer
    x = 128,806.65

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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.