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Finding the Fourth Proportional to 121,429.83, 182,165.82 and 37,188

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Solution

The fourth proportional to 121,429.83, 182,165.82 and 37,188 is: 55,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,429.83 : 182,165.82 = 37,188 : x
  2. Step 2: Convert to fraction form
    121,429.83/182,165.82 = 37,188/x
  3. Step 3: Cross multiply
    121,429.83x = 182,165.82 × 37,188
  4. Step 4: Simplify right side
    121,429.83x = 6,774,382,514.16
  5. Step 5: Solve for x
    x = 6,774,382,514.16/121,429.83
  6. Step 6: Final answer
    x = 55,788.45

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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.