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Finding the Fourth Proportional to 146,782.80, 202,564.80 and 83,119.20

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Solution

The fourth proportional to 146,782.80, 202,564.80 and 83,119.20 is: 114,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,782.80 : 202,564.80 = 83,119.20 : x
  2. Step 2: Convert to fraction form
    146,782.80/202,564.80 = 83,119.20/x
  3. Step 3: Cross multiply
    146,782.80x = 202,564.80 × 83,119.20
  4. Step 4: Simplify right side
    146,782.80x = 16,837,024,124.16
  5. Step 5: Solve for x
    x = 16,837,024,124.16/146,782.80
  6. Step 6: Final answer
    x = 114,707.06

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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.