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Finding the Fourth Proportional to 146,770, 202,545.12 and 79,702

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Solution

The fourth proportional to 146,770, 202,545.12 and 79,702 is: 109,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,770 : 202,545.12 = 79,702 : x
  2. Step 2: Convert to fraction form
    146,770/202,545.12 = 79,702/x
  3. Step 3: Cross multiply
    146,770x = 202,545.12 × 79,702
  4. Step 4: Simplify right side
    146,770x = 16,143,251,154.24
  5. Step 5: Solve for x
    x = 16,143,251,154.24/146,770
  6. Step 6: Final answer
    x = 109,990.13

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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.