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Finding the Fourth Proportional to 261,970, 361,518.62 and 142,738

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Solution

The fourth proportional to 261,970, 361,518.62 and 142,738 is: 196,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,970 : 361,518.62 = 142,738 : x
  2. Step 2: Convert to fraction form
    261,970/361,518.62 = 142,738/x
  3. Step 3: Cross multiply
    261,970x = 361,518.62 × 142,738
  4. Step 4: Simplify right side
    261,970x = 51,602,444,781.56
  5. Step 5: Solve for x
    x = 51,602,444,781.56/261,970
  6. Step 6: Final answer
    x = 196,978.45

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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.