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Finding the Fourth Proportional to 256,646.84, 384,874.38 and 88,119.32

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Solution

The fourth proportional to 256,646.84, 384,874.38 and 88,119.32 is: 132,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,646.84 : 384,874.38 = 88,119.32 : x
  2. Step 2: Convert to fraction form
    256,646.84/384,874.38 = 88,119.32/x
  3. Step 3: Cross multiply
    256,646.84x = 384,874.38 × 88,119.32
  4. Step 4: Simplify right side
    256,646.84x = 33,914,868,651.02
  5. Step 5: Solve for x
    x = 33,914,868,651.02/256,646.84
  6. Step 6: Final answer
    x = 132,146.06

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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.