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Finding the Fourth Proportional to 104,864, 144,712.32 and 60,166.40

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Solution

The fourth proportional to 104,864, 144,712.32 and 60,166.40 is: 83,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,864 : 144,712.32 = 60,166.40 : x
  2. Step 2: Convert to fraction form
    104,864/144,712.32 = 60,166.40/x
  3. Step 3: Cross multiply
    104,864x = 144,712.32 × 60,166.40
  4. Step 4: Simplify right side
    104,864x = 8,706,819,330.05
  5. Step 5: Solve for x
    x = 8,706,819,330.05/104,864
  6. Step 6: Final answer
    x = 83,029.63

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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.