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Finding the Fourth Proportional to 144,419.84, 216,736.17 and 68,518.66

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Solution

The fourth proportional to 144,419.84, 216,736.17 and 68,518.66 is: 102,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,419.84 : 216,736.17 = 68,518.66 : x
  2. Step 2: Convert to fraction form
    144,419.84/216,736.17 = 68,518.66/x
  3. Step 3: Cross multiply
    144,419.84x = 216,736.17 × 68,518.66
  4. Step 4: Simplify right side
    144,419.84x = 14,850,471,941.93
  5. Step 5: Solve for x
    x = 14,850,471,941.93/144,419.84
  6. Step 6: Final answer
    x = 102,828.48

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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.