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Finding the Fourth Proportional to 202,784.10, 304,348.95 and 90,636.90

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Solution

The fourth proportional to 202,784.10, 304,348.95 and 90,636.90 is: 136,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,784.10 : 304,348.95 = 90,636.90 : x
  2. Step 2: Convert to fraction form
    202,784.10/304,348.95 = 90,636.90/x
  3. Step 3: Cross multiply
    202,784.10x = 304,348.95 × 90,636.90
  4. Step 4: Simplify right side
    202,784.10x = 27,585,245,346.26
  5. Step 5: Solve for x
    x = 27,585,245,346.26/202,784.10
  6. Step 6: Final answer
    x = 136,032.59

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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.