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Finding the Fourth Proportional to 148,984.26, 205,598.26 and 81,916.26

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Solution

The fourth proportional to 148,984.26, 205,598.26 and 81,916.26 is: 113,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,984.26 : 205,598.26 = 81,916.26 : x
  2. Step 2: Convert to fraction form
    148,984.26/205,598.26 = 81,916.26/x
  3. Step 3: Cross multiply
    148,984.26x = 205,598.26 × 81,916.26
  4. Step 4: Simplify right side
    148,984.26x = 16,841,840,521.71
  5. Step 5: Solve for x
    x = 16,841,840,521.71/148,984.26
  6. Step 6: Final answer
    x = 113,044.43

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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.