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Finding the Fourth Proportional to 210,516.80, 315,775.20 and 121,724.60

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Solution

The fourth proportional to 210,516.80, 315,775.20 and 121,724.60 is: 182,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,516.80 : 315,775.20 = 121,724.60 : x
  2. Step 2: Convert to fraction form
    210,516.80/315,775.20 = 121,724.60/x
  3. Step 3: Cross multiply
    210,516.80x = 315,775.20 × 121,724.60
  4. Step 4: Simplify right side
    210,516.80x = 38,437,609,909.92
  5. Step 5: Solve for x
    x = 38,437,609,909.92/210,516.80
  6. Step 6: Final answer
    x = 182,586.90

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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.