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Finding the Fourth Proportional to 102,321.31, 153,480.90 and 39,991.27

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Solution

The fourth proportional to 102,321.31, 153,480.90 and 39,991.27 is: 59,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,321.31 : 153,480.90 = 39,991.27 : x
  2. Step 2: Convert to fraction form
    102,321.31/153,480.90 = 39,991.27/x
  3. Step 3: Cross multiply
    102,321.31x = 153,480.90 × 39,991.27
  4. Step 4: Simplify right side
    102,321.31x = 6,137,896,111.74
  5. Step 5: Solve for x
    x = 6,137,896,111.74/102,321.31
  6. Step 6: Final answer
    x = 59,986.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.