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Finding the Fourth Proportional to 144,969.92, 200,068.47 and 81,311.81

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Solution

The fourth proportional to 144,969.92, 200,068.47 and 81,311.81 is: 112,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,969.92 : 200,068.47 = 81,311.81 : x
  2. Step 2: Convert to fraction form
    144,969.92/200,068.47 = 81,311.81/x
  3. Step 3: Cross multiply
    144,969.92x = 200,068.47 × 81,311.81
  4. Step 4: Simplify right side
    144,969.92x = 16,267,929,419.63
  5. Step 5: Solve for x
    x = 16,267,929,419.63/144,969.92
  6. Step 6: Final answer
    x = 112,215.90

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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.