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Finding the Fourth Proportional to 140,512, 210,768.16 and 57,405.92

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Solution

The fourth proportional to 140,512, 210,768.16 and 57,405.92 is: 86,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512 : 210,768.16 = 57,405.92 : x
  2. Step 2: Convert to fraction form
    140,512/210,768.16 = 57,405.92/x
  3. Step 3: Cross multiply
    140,512x = 210,768.16 × 57,405.92
  4. Step 4: Simplify right side
    140,512x = 12,099,340,131.51
  5. Step 5: Solve for x
    x = 12,099,340,131.51/140,512
  6. Step 6: Final answer
    x = 86,108.95

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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.