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Finding the Fourth Proportional to 149,930.95, 206,912.42 and 86,278.27

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Solution

The fourth proportional to 149,930.95, 206,912.42 and 86,278.27 is: 119,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,930.95 : 206,912.42 = 86,278.27 : x
  2. Step 2: Convert to fraction form
    149,930.95/206,912.42 = 86,278.27/x
  3. Step 3: Cross multiply
    149,930.95x = 206,912.42 × 86,278.27
  4. Step 4: Simplify right side
    149,930.95x = 17,852,045,639.11
  5. Step 5: Solve for x
    x = 17,852,045,639.11/149,930.95
  6. Step 6: Final answer
    x = 119,068.45

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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.