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Finding the Fourth Proportional to 78,960, 118,414.32 and 26,355.36

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Solution

The fourth proportional to 78,960, 118,414.32 and 26,355.36 is: 39,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,960 : 118,414.32 = 26,355.36 : x
  2. Step 2: Convert to fraction form
    78,960/118,414.32 = 26,355.36/x
  3. Step 3: Cross multiply
    78,960x = 118,414.32 × 26,355.36
  4. Step 4: Simplify right side
    78,960x = 3,120,852,032.76
  5. Step 5: Solve for x
    x = 3,120,852,032.76/78,960
  6. Step 6: Final answer
    x = 39,524.47

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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.