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Finding the Fourth Proportional to 159,851.36, 220,580.91 and 102,389.31

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Solution

The fourth proportional to 159,851.36, 220,580.91 and 102,389.31 is: 141,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,851.36 : 220,580.91 = 102,389.31 : x
  2. Step 2: Convert to fraction form
    159,851.36/220,580.91 = 102,389.31/x
  3. Step 3: Cross multiply
    159,851.36x = 220,580.91 × 102,389.31
  4. Step 4: Simplify right side
    159,851.36x = 22,585,127,174.07
  5. Step 5: Solve for x
    x = 22,585,127,174.07/159,851.36
  6. Step 6: Final answer
    x = 141,288.30

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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.