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Finding the Fourth Proportional to 261,267, 360,551.34 and 142,035

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Solution

The fourth proportional to 261,267, 360,551.34 and 142,035 is: 196,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,267 : 360,551.34 = 142,035 : x
  2. Step 2: Convert to fraction form
    261,267/360,551.34 = 142,035/x
  3. Step 3: Cross multiply
    261,267x = 360,551.34 × 142,035
  4. Step 4: Simplify right side
    261,267x = 51,210,909,576.90
  5. Step 5: Solve for x
    x = 51,210,909,576.90/261,267
  6. Step 6: Final answer
    x = 196,009.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.