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Finding the Fourth Proportional to 171,140, 256,813.68 and 72,644

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Solution

The fourth proportional to 171,140, 256,813.68 and 72,644 is: 109,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,140 : 256,813.68 = 72,644 : x
  2. Step 2: Convert to fraction form
    171,140/256,813.68 = 72,644/x
  3. Step 3: Cross multiply
    171,140x = 256,813.68 × 72,644
  4. Step 4: Simplify right side
    171,140x = 18,655,972,969.92
  5. Step 5: Solve for x
    x = 18,655,972,969.92/171,140
  6. Step 6: Final answer
    x = 109,010.01

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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.