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Finding the Fourth Proportional to 252,952.56, 349,071.12 and 139,777.20

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Solution

The fourth proportional to 252,952.56, 349,071.12 and 139,777.20 is: 192,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,952.56 : 349,071.12 = 139,777.20 : x
  2. Step 2: Convert to fraction form
    252,952.56/349,071.12 = 139,777.20/x
  3. Step 3: Cross multiply
    252,952.56x = 349,071.12 × 139,777.20
  4. Step 4: Simplify right side
    252,952.56x = 48,792,183,754.46
  5. Step 5: Solve for x
    x = 48,792,183,754.46/252,952.56
  6. Step 6: Final answer
    x = 192,890.65

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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.