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Finding the Fourth Proportional to 149,896.48, 206,851.68 and 86,244.16

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Solution

The fourth proportional to 149,896.48, 206,851.68 and 86,244.16 is: 119,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,896.48 : 206,851.68 = 86,244.16 : x
  2. Step 2: Convert to fraction form
    149,896.48/206,851.68 = 86,244.16/x
  3. Step 3: Cross multiply
    149,896.48x = 206,851.68 × 86,244.16
  4. Step 4: Simplify right side
    149,896.48x = 17,839,749,386.19
  5. Step 5: Solve for x
    x = 17,839,749,386.19/149,896.48
  6. Step 6: Final answer
    x = 119,013.80

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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.