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Finding the Fourth Proportional to 261,586, 360,988.68 and 142,354

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Solution

The fourth proportional to 261,586, 360,988.68 and 142,354 is: 196,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,586 : 360,988.68 = 142,354 : x
  2. Step 2: Convert to fraction form
    261,586/360,988.68 = 142,354/x
  3. Step 3: Cross multiply
    261,586x = 360,988.68 × 142,354
  4. Step 4: Simplify right side
    261,586x = 51,388,182,552.72
  5. Step 5: Solve for x
    x = 51,388,182,552.72/261,586
  6. Step 6: Final answer
    x = 196,448.52

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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.