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Finding the Fourth Proportional to 256,637.60, 354,162.17 and 141,924

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Solution

The fourth proportional to 256,637.60, 354,162.17 and 141,924 is: 195,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,637.60 : 354,162.17 = 141,924 : x
  2. Step 2: Convert to fraction form
    256,637.60/354,162.17 = 141,924/x
  3. Step 3: Cross multiply
    256,637.60x = 354,162.17 × 141,924
  4. Step 4: Simplify right side
    256,637.60x = 50,264,111,815.08
  5. Step 5: Solve for x
    x = 50,264,111,815.08/256,637.60
  6. Step 6: Final answer
    x = 195,856.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.