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Finding the Fourth Proportional to 78,385.78, 117,580.90 and 19,221.40

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Solution

The fourth proportional to 78,385.78, 117,580.90 and 19,221.40 is: 28,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,385.78 : 117,580.90 = 19,221.40 : x
  2. Step 2: Convert to fraction form
    78,385.78/117,580.90 = 19,221.40/x
  3. Step 3: Cross multiply
    78,385.78x = 117,580.90 × 19,221.40
  4. Step 4: Simplify right side
    78,385.78x = 2,260,069,511.26
  5. Step 5: Solve for x
    x = 2,260,069,511.26/78,385.78
  6. Step 6: Final answer
    x = 28,832.65

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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.