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Finding the Fourth Proportional to 261,483.80, 392,435.89 and 135,161.08

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Solution

The fourth proportional to 261,483.80, 392,435.89 and 135,161.08 is: 202,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,483.80 : 392,435.89 = 135,161.08 : x
  2. Step 2: Convert to fraction form
    261,483.80/392,435.89 = 135,161.08/x
  3. Step 3: Cross multiply
    261,483.80x = 392,435.89 × 135,161.08
  4. Step 4: Simplify right side
    261,483.80x = 53,042,057,404.17
  5. Step 5: Solve for x
    x = 53,042,057,404.17/261,483.80
  6. Step 6: Final answer
    x = 202,850.27

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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.