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Finding the Fourth Proportional to 272,812.80, 409,219.20 and 85,881.60

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Solution

The fourth proportional to 272,812.80, 409,219.20 and 85,881.60 is: 128,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,812.80 : 409,219.20 = 85,881.60 : x
  2. Step 2: Convert to fraction form
    272,812.80/409,219.20 = 85,881.60/x
  3. Step 3: Cross multiply
    272,812.80x = 409,219.20 × 85,881.60
  4. Step 4: Simplify right side
    272,812.80x = 35,144,399,646.72
  5. Step 5: Solve for x
    x = 35,144,399,646.72/272,812.80
  6. Step 6: Final answer
    x = 128,822.40

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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.