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Finding the Fourth Proportional to 121,484.63, 182,256.17 and 38,378.63

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Solution

The fourth proportional to 121,484.63, 182,256.17 and 38,378.63 is: 57,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,484.63 : 182,256.17 = 38,378.63 : x
  2. Step 2: Convert to fraction form
    121,484.63/182,256.17 = 38,378.63/x
  3. Step 3: Cross multiply
    121,484.63x = 182,256.17 × 38,378.63
  4. Step 4: Simplify right side
    121,484.63x = 6,994,741,010.47
  5. Step 5: Solve for x
    x = 6,994,741,010.47/121,484.63
  6. Step 6: Final answer
    x = 57,577.17

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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.