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Finding the Fourth Proportional to 121,770, 182,709.72 and 77,385.24

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Solution

The fourth proportional to 121,770, 182,709.72 and 77,385.24 is: 116,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,770 : 182,709.72 = 77,385.24 : x
  2. Step 2: Convert to fraction form
    121,770/182,709.72 = 77,385.24/x
  3. Step 3: Cross multiply
    121,770x = 182,709.72 × 77,385.24
  4. Step 4: Simplify right side
    121,770x = 14,139,035,532.53
  5. Step 5: Solve for x
    x = 14,139,035,532.53/121,770
  6. Step 6: Final answer
    x = 116,112.63

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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.