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Finding the Fourth Proportional to 124,011, 186,016.50 and 30,516.75

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Solution

The fourth proportional to 124,011, 186,016.50 and 30,516.75 is: 45,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,011 : 186,016.50 = 30,516.75 : x
  2. Step 2: Convert to fraction form
    124,011/186,016.50 = 30,516.75/x
  3. Step 3: Cross multiply
    124,011x = 186,016.50 × 30,516.75
  4. Step 4: Simplify right side
    124,011x = 5,676,619,026.38
  5. Step 5: Solve for x
    x = 5,676,619,026.38/124,011
  6. Step 6: Final answer
    x = 45,775.13

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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.