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Finding the Fourth Proportional to 121,805.61, 182,723.27 and 51,661.23

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Solution

The fourth proportional to 121,805.61, 182,723.27 and 51,661.23 is: 77,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,805.61 : 182,723.27 = 51,661.23 : x
  2. Step 2: Convert to fraction form
    121,805.61/182,723.27 = 51,661.23/x
  3. Step 3: Cross multiply
    121,805.61x = 182,723.27 × 51,661.23
  4. Step 4: Simplify right side
    121,805.61x = 9,439,708,619.52
  5. Step 5: Solve for x
    x = 9,439,708,619.52/121,805.61
  6. Step 6: Final answer
    x = 77,498.14

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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.