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Finding the Fourth Proportional to 145,876, 201,308.88 and 78,808

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Solution

The fourth proportional to 145,876, 201,308.88 and 78,808 is: 108,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,876 : 201,308.88 = 78,808 : x
  2. Step 2: Convert to fraction form
    145,876/201,308.88 = 78,808/x
  3. Step 3: Cross multiply
    145,876x = 201,308.88 × 78,808
  4. Step 4: Simplify right side
    145,876x = 15,864,750,215.04
  5. Step 5: Solve for x
    x = 15,864,750,215.04/145,876
  6. Step 6: Final answer
    x = 108,755.04

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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.