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Finding the Fourth Proportional to 268,143.21, 402,302.30 and 127,883.61

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Solution

The fourth proportional to 268,143.21, 402,302.30 and 127,883.61 is: 191,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,143.21 : 402,302.30 = 127,883.61 : x
  2. Step 2: Convert to fraction form
    268,143.21/402,302.30 = 127,883.61/x
  3. Step 3: Cross multiply
    268,143.21x = 402,302.30 × 127,883.61
  4. Step 4: Simplify right side
    268,143.21x = 51,447,869,795.89
  5. Step 5: Solve for x
    x = 51,447,869,795.89/268,143.21
  6. Step 6: Final answer
    x = 191,867.14

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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.