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Finding the Fourth Proportional to 322,792.08, 484,216.20 and 86,136

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Solution

The fourth proportional to 322,792.08, 484,216.20 and 86,136 is: 129,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,792.08 : 484,216.20 = 86,136 : x
  2. Step 2: Convert to fraction form
    322,792.08/484,216.20 = 86,136/x
  3. Step 3: Cross multiply
    322,792.08x = 484,216.20 × 86,136
  4. Step 4: Simplify right side
    322,792.08x = 41,708,446,603.20
  5. Step 5: Solve for x
    x = 41,708,446,603.20/322,792.08
  6. Step 6: Final answer
    x = 129,211.49

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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.