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Finding the Fourth Proportional to 202,638.60, 304,130.70 and 90,491.40

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Solution

The fourth proportional to 202,638.60, 304,130.70 and 90,491.40 is: 135,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,638.60 : 304,130.70 = 90,491.40 : x
  2. Step 2: Convert to fraction form
    202,638.60/304,130.70 = 90,491.40/x
  3. Step 3: Cross multiply
    202,638.60x = 304,130.70 × 90,491.40
  4. Step 4: Simplify right side
    202,638.60x = 27,521,212,825.98
  5. Step 5: Solve for x
    x = 27,521,212,825.98/202,638.60
  6. Step 6: Final answer
    x = 135,814.27

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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.