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Finding the Fourth Proportional to 124,146, 186,222.80 and 30,651.76

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Solution

The fourth proportional to 124,146, 186,222.80 and 30,651.76 is: 45,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,146 : 186,222.80 = 30,651.76 : x
  2. Step 2: Convert to fraction form
    124,146/186,222.80 = 30,651.76/x
  3. Step 3: Cross multiply
    124,146x = 186,222.80 × 30,651.76
  4. Step 4: Simplify right side
    124,146x = 5,708,056,572.13
  5. Step 5: Solve for x
    x = 5,708,056,572.13/124,146
  6. Step 6: Final answer
    x = 45,978.58

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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.