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Finding the Fourth Proportional to 202,805.10, 304,380.45 and 90,657.90

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Solution

The fourth proportional to 202,805.10, 304,380.45 and 90,657.90 is: 136,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,805.10 : 304,380.45 = 90,657.90 : x
  2. Step 2: Convert to fraction form
    202,805.10/304,380.45 = 90,657.90/x
  3. Step 3: Cross multiply
    202,805.10x = 304,380.45 × 90,657.90
  4. Step 4: Simplify right side
    202,805.10x = 27,594,492,398.06
  5. Step 5: Solve for x
    x = 27,594,492,398.06/202,805.10
  6. Step 6: Final answer
    x = 136,064.10

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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.