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Finding the Fourth Proportional to 206,545.53, 285,032.06 and 115,901.29

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Solution

The fourth proportional to 206,545.53, 285,032.06 and 115,901.29 is: 159,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,545.53 : 285,032.06 = 115,901.29 : x
  2. Step 2: Convert to fraction form
    206,545.53/285,032.06 = 115,901.29/x
  3. Step 3: Cross multiply
    206,545.53x = 285,032.06 × 115,901.29
  4. Step 4: Simplify right side
    206,545.53x = 33,035,583,445.36
  5. Step 5: Solve for x
    x = 33,035,583,445.36/206,545.53
  6. Step 6: Final answer
    x = 159,943.35

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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.