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Finding the Fourth Proportional to 121,991.42, 183,004.62 and 37,758.98

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Solution

The fourth proportional to 121,991.42, 183,004.62 and 37,758.98 is: 56,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,991.42 : 183,004.62 = 37,758.98 : x
  2. Step 2: Convert to fraction form
    121,991.42/183,004.62 = 37,758.98/x
  3. Step 3: Cross multiply
    121,991.42x = 183,004.62 × 37,758.98
  4. Step 4: Simplify right side
    121,991.42x = 6,910,068,385.60
  5. Step 5: Solve for x
    x = 6,910,068,385.60/121,991.42
  6. Step 6: Final answer
    x = 56,643.89

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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.