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Finding the Fourth Proportional to 121,651.50, 167,953.19 and 83,473.77

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Solution

The fourth proportional to 121,651.50, 167,953.19 and 83,473.77 is: 115,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,651.50 : 167,953.19 = 83,473.77 : x
  2. Step 2: Convert to fraction form
    121,651.50/167,953.19 = 83,473.77/x
  3. Step 3: Cross multiply
    121,651.50x = 167,953.19 × 83,473.77
  4. Step 4: Simplify right side
    121,651.50x = 14,019,685,952.83
  5. Step 5: Solve for x
    x = 14,019,685,952.83/121,651.50
  6. Step 6: Final answer
    x = 115,244.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.