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Finding the Fourth Proportional to 121,118, 181,683.48 and 38,018.48

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Solution

The fourth proportional to 121,118, 181,683.48 and 38,018.48 is: 57,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,118 : 181,683.48 = 38,018.48 : x
  2. Step 2: Convert to fraction form
    121,118/181,683.48 = 38,018.48/x
  3. Step 3: Cross multiply
    121,118x = 181,683.48 × 38,018.48
  4. Step 4: Simplify right side
    121,118x = 6,907,329,750.71
  5. Step 5: Solve for x
    x = 6,907,329,750.71/121,118
  6. Step 6: Final answer
    x = 57,029.75

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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.