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Finding the Fourth Proportional to 273,269.70, 409,904.55 and 86,281.20

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Solution

The fourth proportional to 273,269.70, 409,904.55 and 86,281.20 is: 129,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,269.70 : 409,904.55 = 86,281.20 : x
  2. Step 2: Convert to fraction form
    273,269.70/409,904.55 = 86,281.20/x
  3. Step 3: Cross multiply
    273,269.70x = 409,904.55 × 86,281.20
  4. Step 4: Simplify right side
    273,269.70x = 35,367,056,459.46
  5. Step 5: Solve for x
    x = 35,367,056,459.46/273,269.70
  6. Step 6: Final answer
    x = 129,421.80

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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.