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Finding the Fourth Proportional to 256,755.51, 385,132.95 and 98,873.24

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Solution

The fourth proportional to 256,755.51, 385,132.95 and 98,873.24 is: 148,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,755.51 : 385,132.95 = 98,873.24 : x
  2. Step 2: Convert to fraction form
    256,755.51/385,132.95 = 98,873.24/x
  3. Step 3: Cross multiply
    256,755.51x = 385,132.95 × 98,873.24
  4. Step 4: Simplify right side
    256,755.51x = 38,079,340,671.59
  5. Step 5: Solve for x
    x = 38,079,340,671.59/256,755.51
  6. Step 6: Final answer
    x = 148,309.73

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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.