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Finding the Fourth Proportional to 361,710, 542,565 and 140,094

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Solution

The fourth proportional to 361,710, 542,565 and 140,094 is: 210,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,710 : 542,565 = 140,094 : x
  2. Step 2: Convert to fraction form
    361,710/542,565 = 140,094/x
  3. Step 3: Cross multiply
    361,710x = 542,565 × 140,094
  4. Step 4: Simplify right side
    361,710x = 76,010,101,110
  5. Step 5: Solve for x
    x = 76,010,101,110/361,710
  6. Step 6: Final answer
    x = 210,141

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.