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Finding the Fourth Proportional to 261,090, 360,306.36 and 141,858

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Solution

The fourth proportional to 261,090, 360,306.36 and 141,858 is: 195,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,090 : 360,306.36 = 141,858 : x
  2. Step 2: Convert to fraction form
    261,090/360,306.36 = 141,858/x
  3. Step 3: Cross multiply
    261,090x = 360,306.36 × 141,858
  4. Step 4: Simplify right side
    261,090x = 51,112,339,616.88
  5. Step 5: Solve for x
    x = 51,112,339,616.88/261,090
  6. Step 6: Final answer
    x = 195,765.21

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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.