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Finding the Fourth Proportional to 253,932.69, 380,570.98 and 120,853.74

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Solution

The fourth proportional to 253,932.69, 380,570.98 and 120,853.74 is: 181,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,932.69 : 380,570.98 = 120,853.74 : x
  2. Step 2: Convert to fraction form
    253,932.69/380,570.98 = 120,853.74/x
  3. Step 3: Cross multiply
    253,932.69x = 380,570.98 × 120,853.74
  4. Step 4: Simplify right side
    253,932.69x = 45,993,426,268.47
  5. Step 5: Solve for x
    x = 45,993,426,268.47/253,932.69
  6. Step 6: Final answer
    x = 181,124.48

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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.