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Finding the Fourth Proportional to 276,731.40, 415,097.10 and 136,763.40

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Solution

The fourth proportional to 276,731.40, 415,097.10 and 136,763.40 is: 205,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,731.40 : 415,097.10 = 136,763.40 : x
  2. Step 2: Convert to fraction form
    276,731.40/415,097.10 = 136,763.40/x
  3. Step 3: Cross multiply
    276,731.40x = 415,097.10 × 136,763.40
  4. Step 4: Simplify right side
    276,731.40x = 56,770,090,726.14
  5. Step 5: Solve for x
    x = 56,770,090,726.14/276,731.40
  6. Step 6: Final answer
    x = 205,145.10

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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.