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Finding the Fourth Proportional to 252,035.75, 347,808.30 and 137,314.07

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Solution

The fourth proportional to 252,035.75, 347,808.30 and 137,314.07 is: 189,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,035.75 : 347,808.30 = 137,314.07 : x
  2. Step 2: Convert to fraction form
    252,035.75/347,808.30 = 137,314.07/x
  3. Step 3: Cross multiply
    252,035.75x = 347,808.30 × 137,314.07
  4. Step 4: Simplify right side
    252,035.75x = 47,758,973,252.78
  5. Step 5: Solve for x
    x = 47,758,973,252.78/252,035.75
  6. Step 6: Final answer
    x = 189,492.85

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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.