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Finding the Fourth Proportional to 137,427.84, 206,274.80 and 66,400.46

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Solution

The fourth proportional to 137,427.84, 206,274.80 and 66,400.46 is: 99,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427.84 : 206,274.80 = 66,400.46 : x
  2. Step 2: Convert to fraction form
    137,427.84/206,274.80 = 66,400.46/x
  3. Step 3: Cross multiply
    137,427.84x = 206,274.80 × 66,400.46
  4. Step 4: Simplify right side
    137,427.84x = 13,696,740,243.03
  5. Step 5: Solve for x
    x = 13,696,740,243.03/137,427.84
  6. Step 6: Final answer
    x = 99,664.96

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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.