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Finding the Fourth Proportional to 37,042.50, 51,118.65 and 20,275.50

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Solution

The fourth proportional to 37,042.50, 51,118.65 and 20,275.50 is: 27,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042.50 : 51,118.65 = 20,275.50 : x
  2. Step 2: Convert to fraction form
    37,042.50/51,118.65 = 20,275.50/x
  3. Step 3: Cross multiply
    37,042.50x = 51,118.65 × 20,275.50
  4. Step 4: Simplify right side
    37,042.50x = 1,036,456,188.08
  5. Step 5: Solve for x
    x = 1,036,456,188.08/37,042.50
  6. Step 6: Final answer
    x = 27,980.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.