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Finding the Fourth Proportional to 121,114.98, 181,678.74 and 36,868.50

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Solution

The fourth proportional to 121,114.98, 181,678.74 and 36,868.50 is: 55,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114.98 : 181,678.74 = 36,868.50 : x
  2. Step 2: Convert to fraction form
    121,114.98/181,678.74 = 36,868.50/x
  3. Step 3: Cross multiply
    121,114.98x = 181,678.74 × 36,868.50
  4. Step 4: Simplify right side
    121,114.98x = 6,698,222,625.69
  5. Step 5: Solve for x
    x = 6,698,222,625.69/121,114.98
  6. Step 6: Final answer
    x = 55,304.66

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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.