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Finding the Fourth Proportional to 74,419.30, 102,696.49 and 40,426.30

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Solution

The fourth proportional to 74,419.30, 102,696.49 and 40,426.30 is: 55,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,419.30 : 102,696.49 = 40,426.30 : x
  2. Step 2: Convert to fraction form
    74,419.30/102,696.49 = 40,426.30/x
  3. Step 3: Cross multiply
    74,419.30x = 102,696.49 × 40,426.30
  4. Step 4: Simplify right side
    74,419.30x = 4,151,639,113.69
  5. Step 5: Solve for x
    x = 4,151,639,113.69/74,419.30
  6. Step 6: Final answer
    x = 55,787.13

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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.