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Finding the Fourth Proportional to 256,097.10, 383,656.05 and 137,729.10

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Solution

The fourth proportional to 256,097.10, 383,656.05 and 137,729.10 is: 206,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.10 : 383,656.05 = 137,729.10 : x
  2. Step 2: Convert to fraction form
    256,097.10/383,656.05 = 137,729.10/x
  3. Step 3: Cross multiply
    256,097.10x = 383,656.05 × 137,729.10
  4. Step 4: Simplify right side
    256,097.10x = 52,840,602,476.06
  5. Step 5: Solve for x
    x = 52,840,602,476.06/256,097.10
  6. Step 6: Final answer
    x = 206,330.34

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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.