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Finding the Fourth Proportional to 178,712.88, 268,071.40 and 45,592.88

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Solution

The fourth proportional to 178,712.88, 268,071.40 and 45,592.88 is: 68,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,712.88 : 268,071.40 = 45,592.88 : x
  2. Step 2: Convert to fraction form
    178,712.88/268,071.40 = 45,592.88/x
  3. Step 3: Cross multiply
    178,712.88x = 268,071.40 × 45,592.88
  4. Step 4: Simplify right side
    178,712.88x = 12,222,147,171.63
  5. Step 5: Solve for x
    x = 12,222,147,171.63/178,712.88
  6. Step 6: Final answer
    x = 68,389.85

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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.