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Finding the Fourth Proportional to 214,878.67, 322,318.01 and 81,728.17

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Solution

The fourth proportional to 214,878.67, 322,318.01 and 81,728.17 is: 122,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,878.67 : 322,318.01 = 81,728.17 : x
  2. Step 2: Convert to fraction form
    214,878.67/322,318.01 = 81,728.17/x
  3. Step 3: Cross multiply
    214,878.67x = 322,318.01 × 81,728.17
  4. Step 4: Simplify right side
    214,878.67x = 26,342,460,706.70
  5. Step 5: Solve for x
    x = 26,342,460,706.70/214,878.67
  6. Step 6: Final answer
    x = 122,592.26

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1.5x scale

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.