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Finding the Fourth Proportional to 202,957.77, 304,438.68 and 90,643.71

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Solution

The fourth proportional to 202,957.77, 304,438.68 and 90,643.71 is: 135,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,957.77 : 304,438.68 = 90,643.71 : x
  2. Step 2: Convert to fraction form
    202,957.77/304,438.68 = 90,643.71/x
  3. Step 3: Cross multiply
    202,957.77x = 304,438.68 × 90,643.71
  4. Step 4: Simplify right side
    202,957.77x = 27,595,451,422.70
  5. Step 5: Solve for x
    x = 27,595,451,422.70/202,957.77
  6. Step 6: Final answer
    x = 135,966.47

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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.