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Finding the Fourth Proportional to 257,792.54, 386,231.28 and 107,702.51

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Solution

The fourth proportional to 257,792.54, 386,231.28 and 107,702.51 is: 161,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,792.54 : 386,231.28 = 107,702.51 : x
  2. Step 2: Convert to fraction form
    257,792.54/386,231.28 = 107,702.51/x
  3. Step 3: Cross multiply
    257,792.54x = 386,231.28 × 107,702.51
  4. Step 4: Simplify right side
    257,792.54x = 41,598,076,365.36
  5. Step 5: Solve for x
    x = 41,598,076,365.36/257,792.54
  6. Step 6: Final answer
    x = 161,362.61

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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.