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Finding the Fourth Proportional to 202,976.80, 304,465.20 and 97,806.40

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Solution

The fourth proportional to 202,976.80, 304,465.20 and 97,806.40 is: 146,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,976.80 : 304,465.20 = 97,806.40 : x
  2. Step 2: Convert to fraction form
    202,976.80/304,465.20 = 97,806.40/x
  3. Step 3: Cross multiply
    202,976.80x = 304,465.20 × 97,806.40
  4. Step 4: Simplify right side
    202,976.80x = 29,778,645,137.28
  5. Step 5: Solve for x
    x = 29,778,645,137.28/202,976.80
  6. Step 6: Final answer
    x = 146,709.60

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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.