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Finding the Fourth Proportional to 202,771.10, 304,329.45 and 90,623.90

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Solution

The fourth proportional to 202,771.10, 304,329.45 and 90,623.90 is: 136,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,771.10 : 304,329.45 = 90,623.90 : x
  2. Step 2: Convert to fraction form
    202,771.10/304,329.45 = 90,623.90/x
  3. Step 3: Cross multiply
    202,771.10x = 304,329.45 × 90,623.90
  4. Step 4: Simplify right side
    202,771.10x = 27,579,521,643.86
  5. Step 5: Solve for x
    x = 27,579,521,643.86/202,771.10
  6. Step 6: Final answer
    x = 136,013.08

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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.