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Finding the Fourth Proportional to 123,409.61, 185,121.34 and 34,656.19

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Solution

The fourth proportional to 123,409.61, 185,121.34 and 34,656.19 is: 51,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,409.61 : 185,121.34 = 34,656.19 : x
  2. Step 2: Convert to fraction form
    123,409.61/185,121.34 = 34,656.19/x
  3. Step 3: Cross multiply
    123,409.61x = 185,121.34 × 34,656.19
  4. Step 4: Simplify right side
    123,409.61x = 6,415,600,332.09
  5. Step 5: Solve for x
    x = 6,415,600,332.09/123,409.61
  6. Step 6: Final answer
    x = 51,986.23

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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.