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Finding the Fourth Proportional to 146,657.50, 202,389.78 and 79,589.50

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Solution

The fourth proportional to 146,657.50, 202,389.78 and 79,589.50 is: 109,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,657.50 : 202,389.78 = 79,589.50 : x
  2. Step 2: Convert to fraction form
    146,657.50/202,389.78 = 79,589.50/x
  3. Step 3: Cross multiply
    146,657.50x = 202,389.78 × 79,589.50
  4. Step 4: Simplify right side
    146,657.50x = 16,108,101,395.31
  5. Step 5: Solve for x
    x = 16,108,101,395.31/146,657.50
  6. Step 6: Final answer
    x = 109,834.83

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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.