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Finding the Fourth Proportional to 202,786.60, 304,352.70 and 90,639.40

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Solution

The fourth proportional to 202,786.60, 304,352.70 and 90,639.40 is: 136,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,786.60 : 304,352.70 = 90,639.40 : x
  2. Step 2: Convert to fraction form
    202,786.60/304,352.70 = 90,639.40/x
  3. Step 3: Cross multiply
    202,786.60x = 304,352.70 × 90,639.40
  4. Step 4: Simplify right side
    202,786.60x = 27,586,346,116.38
  5. Step 5: Solve for x
    x = 27,586,346,116.38/202,786.60
  6. Step 6: Final answer
    x = 136,036.34

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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.