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Finding the Fourth Proportional to 256,603.60, 384,795.31 and 88,140.88

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Solution

The fourth proportional to 256,603.60, 384,795.31 and 88,140.88 is: 132,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.60 : 384,795.31 = 88,140.88 : x
  2. Step 2: Convert to fraction form
    256,603.60/384,795.31 = 88,140.88/x
  3. Step 3: Cross multiply
    256,603.60x = 384,795.31 × 88,140.88
  4. Step 4: Simplify right side
    256,603.60x = 33,916,197,243.27
  5. Step 5: Solve for x
    x = 33,916,197,243.27/256,603.60
  6. Step 6: Final answer
    x = 132,173.51

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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.