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Finding the Fourth Proportional to 121,135.50, 181,710.54 and 38,029.50

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Solution

The fourth proportional to 121,135.50, 181,710.54 and 38,029.50 is: 57,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,135.50 : 181,710.54 = 38,029.50 : x
  2. Step 2: Convert to fraction form
    121,135.50/181,710.54 = 38,029.50/x
  3. Step 3: Cross multiply
    121,135.50x = 181,710.54 × 38,029.50
  4. Step 4: Simplify right side
    121,135.50x = 6,910,360,980.93
  5. Step 5: Solve for x
    x = 6,910,360,980.93/121,135.50
  6. Step 6: Final answer
    x = 57,046.54

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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.