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Finding the Fourth Proportional to 121,135.70, 181,732.31 and 38,029.70

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Solution

The fourth proportional to 121,135.70, 181,732.31 and 38,029.70 is: 57,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,135.70 : 181,732.31 = 38,029.70 : x
  2. Step 2: Convert to fraction form
    121,135.70/181,732.31 = 38,029.70/x
  3. Step 3: Cross multiply
    121,135.70x = 181,732.31 × 38,029.70
  4. Step 4: Simplify right side
    121,135.70x = 6,911,225,636.40
  5. Step 5: Solve for x
    x = 6,911,225,636.40/121,135.70
  6. Step 6: Final answer
    x = 57,053.58

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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.