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Finding the Fourth Proportional to 146,853, 202,657.14 and 79,785

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Solution

The fourth proportional to 146,853, 202,657.14 and 79,785 is: 110,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,853 : 202,657.14 = 79,785 : x
  2. Step 2: Convert to fraction form
    146,853/202,657.14 = 79,785/x
  3. Step 3: Cross multiply
    146,853x = 202,657.14 × 79,785
  4. Step 4: Simplify right side
    146,853x = 16,168,999,914.90
  5. Step 5: Solve for x
    x = 16,168,999,914.90/146,853
  6. Step 6: Final answer
    x = 110,103.30

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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.