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Finding the Fourth Proportional to 202,721.40, 304,082.10 and 128,071.80

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Solution

The fourth proportional to 202,721.40, 304,082.10 and 128,071.80 is: 192,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,721.40 : 304,082.10 = 128,071.80 : x
  2. Step 2: Convert to fraction form
    202,721.40/304,082.10 = 128,071.80/x
  3. Step 3: Cross multiply
    202,721.40x = 304,082.10 × 128,071.80
  4. Step 4: Simplify right side
    202,721.40x = 38,944,341,894.78
  5. Step 5: Solve for x
    x = 38,944,341,894.78/202,721.40
  6. Step 6: Final answer
    x = 192,107.70

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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.