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Finding the Fourth Proportional to 261,269, 360,554.10 and 142,037

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Solution

The fourth proportional to 261,269, 360,554.10 and 142,037 is: 196,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,269 : 360,554.10 = 142,037 : x
  2. Step 2: Convert to fraction form
    261,269/360,554.10 = 142,037/x
  3. Step 3: Cross multiply
    261,269x = 360,554.10 × 142,037
  4. Step 4: Simplify right side
    261,269x = 51,212,022,701.70
  5. Step 5: Solve for x
    x = 51,212,022,701.70/261,269
  6. Step 6: Final answer
    x = 196,012.63

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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.