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Finding the Fourth Proportional to 257,180.23, 385,795.74 and 88,678.39

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Solution

The fourth proportional to 257,180.23, 385,795.74 and 88,678.39 is: 133,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,180.23 : 385,795.74 = 88,678.39 : x
  2. Step 2: Convert to fraction form
    257,180.23/385,795.74 = 88,678.39/x
  3. Step 3: Cross multiply
    257,180.23x = 385,795.74 × 88,678.39
  4. Step 4: Simplify right side
    257,180.23x = 34,211,745,092.06
  5. Step 5: Solve for x
    x = 34,211,745,092.06/257,180.23
  6. Step 6: Final answer
    x = 133,026.34

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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.