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Finding the Fourth Proportional to 257,778.29, 386,663.18 and 105,944.60

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Solution

The fourth proportional to 257,778.29, 386,663.18 and 105,944.60 is: 158,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,778.29 : 386,663.18 = 105,944.60 : x
  2. Step 2: Convert to fraction form
    257,778.29/386,663.18 = 105,944.60/x
  3. Step 3: Cross multiply
    257,778.29x = 386,663.18 × 105,944.60
  4. Step 4: Simplify right side
    257,778.29x = 40,964,877,171.35
  5. Step 5: Solve for x
    x = 40,964,877,171.35/257,778.29
  6. Step 6: Final answer
    x = 158,915.15

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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.