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Finding the Fourth Proportional to 202,642.60, 304,136.70 and 90,495.40

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Solution

The fourth proportional to 202,642.60, 304,136.70 and 90,495.40 is: 135,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.60 : 304,136.70 = 90,495.40 : x
  2. Step 2: Convert to fraction form
    202,642.60/304,136.70 = 90,495.40/x
  3. Step 3: Cross multiply
    202,642.60x = 304,136.70 × 90,495.40
  4. Step 4: Simplify right side
    202,642.60x = 27,522,972,321.18
  5. Step 5: Solve for x
    x = 27,522,972,321.18/202,642.60
  6. Step 6: Final answer
    x = 135,820.27

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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.