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Finding the Fourth Proportional to 140,252.46, 210,455.25 and 81,203.46

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Solution

The fourth proportional to 140,252.46, 210,455.25 and 81,203.46 is: 121,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,252.46 : 210,455.25 = 81,203.46 : x
  2. Step 2: Convert to fraction form
    140,252.46/210,455.25 = 81,203.46/x
  3. Step 3: Cross multiply
    140,252.46x = 210,455.25 × 81,203.46
  4. Step 4: Simplify right side
    140,252.46x = 17,089,694,475.17
  5. Step 5: Solve for x
    x = 17,089,694,475.17/140,252.46
  6. Step 6: Final answer
    x = 121,849.52

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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.