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Finding the Fourth Proportional to 261,965, 361,511.70 and 142,733

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Solution

The fourth proportional to 261,965, 361,511.70 and 142,733 is: 196,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,965 : 361,511.70 = 142,733 : x
  2. Step 2: Convert to fraction form
    261,965/361,511.70 = 142,733/x
  3. Step 3: Cross multiply
    261,965x = 361,511.70 × 142,733
  4. Step 4: Simplify right side
    261,965x = 51,599,649,476.10
  5. Step 5: Solve for x
    x = 51,599,649,476.10/261,965
  6. Step 6: Final answer
    x = 196,971.54

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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.