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Finding the Fourth Proportional to 148,706, 205,215.72 and 81,639.44

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Solution

The fourth proportional to 148,706, 205,215.72 and 81,639.44 is: 112,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,706 : 205,215.72 = 81,639.44 : x
  2. Step 2: Convert to fraction form
    148,706/205,215.72 = 81,639.44/x
  3. Step 3: Cross multiply
    148,706x = 205,215.72 × 81,639.44
  4. Step 4: Simplify right side
    148,706x = 16,753,696,460.00
  5. Step 5: Solve for x
    x = 16,753,696,460.00/148,706
  6. Step 6: Final answer
    x = 112,663.22

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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.