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Finding the Fourth Proportional to 78,363.60, 117,561.64 and 35,648.67

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Solution

The fourth proportional to 78,363.60, 117,561.64 and 35,648.67 is: 53,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,363.60 : 117,561.64 = 35,648.67 : x
  2. Step 2: Convert to fraction form
    78,363.60/117,561.64 = 35,648.67/x
  3. Step 3: Cross multiply
    78,363.60x = 117,561.64 × 35,648.67
  4. Step 4: Simplify right side
    78,363.60x = 4,190,916,109.02
  5. Step 5: Solve for x
    x = 4,190,916,109.02/78,363.60
  6. Step 6: Final answer
    x = 53,480.39

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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.