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Finding the Fourth Proportional to 210,566.50, 315,759.84 and 121,881.22

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Solution

The fourth proportional to 210,566.50, 315,759.84 and 121,881.22 is: 182,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,566.50 : 315,759.84 = 121,881.22 : x
  2. Step 2: Convert to fraction form
    210,566.50/315,759.84 = 121,881.22/x
  3. Step 3: Cross multiply
    210,566.50x = 315,759.84 × 121,881.22
  4. Step 4: Simplify right side
    210,566.50x = 38,485,194,526.20
  5. Step 5: Solve for x
    x = 38,485,194,526.20/210,566.50
  6. Step 6: Final answer
    x = 182,769.79

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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.