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Finding the Fourth Proportional to 273,070.86, 409,626.81 and 86,077.50

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Solution

The fourth proportional to 273,070.86, 409,626.81 and 86,077.50 is: 129,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,070.86 : 409,626.81 = 86,077.50 : x
  2. Step 2: Convert to fraction form
    273,070.86/409,626.81 = 86,077.50/x
  3. Step 3: Cross multiply
    273,070.86x = 409,626.81 × 86,077.50
  4. Step 4: Simplify right side
    273,070.86x = 35,259,651,737.78
  5. Step 5: Solve for x
    x = 35,259,651,737.78/273,070.86
  6. Step 6: Final answer
    x = 129,122.72

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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.