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Finding the Fourth Proportional to 149,959.89, 206,946.03 and 85,428.17

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Solution

The fourth proportional to 149,959.89, 206,946.03 and 85,428.17 is: 117,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,959.89 : 206,946.03 = 85,428.17 : x
  2. Step 2: Convert to fraction form
    149,959.89/206,946.03 = 85,428.17/x
  3. Step 3: Cross multiply
    149,959.89x = 206,946.03 × 85,428.17
  4. Step 4: Simplify right side
    149,959.89x = 17,679,020,631.67
  5. Step 5: Solve for x
    x = 17,679,020,631.67/149,959.89
  6. Step 6: Final answer
    x = 117,891.66

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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.