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Finding the Fourth Proportional to 272,648.60, 409,035.10 and 83,125.91

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Solution

The fourth proportional to 272,648.60, 409,035.10 and 83,125.91 is: 124,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,648.60 : 409,035.10 = 83,125.91 : x
  2. Step 2: Convert to fraction form
    272,648.60/409,035.10 = 83,125.91/x
  3. Step 3: Cross multiply
    272,648.60x = 409,035.10 × 83,125.91
  4. Step 4: Simplify right side
    272,648.60x = 34,001,415,880.08
  5. Step 5: Solve for x
    x = 34,001,415,880.08/272,648.60
  6. Step 6: Final answer
    x = 124,707.83

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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.