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Finding the Fourth Proportional to 106,874.28, 147,478.05 and 66,633.48

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Solution

The fourth proportional to 106,874.28, 147,478.05 and 66,633.48 is: 91,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,874.28 : 147,478.05 = 66,633.48 : x
  2. Step 2: Convert to fraction form
    106,874.28/147,478.05 = 66,633.48/x
  3. Step 3: Cross multiply
    106,874.28x = 147,478.05 × 66,633.48
  4. Step 4: Simplify right side
    106,874.28x = 9,826,975,695.11
  5. Step 5: Solve for x
    x = 9,826,975,695.11/106,874.28
  6. Step 6: Final answer
    x = 91,948.93

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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.