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Finding the Fourth Proportional to 199,120.51, 297,978.90 and 124,275.70

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Solution

The fourth proportional to 199,120.51, 297,978.90 and 124,275.70 is: 185,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,120.51 : 297,978.90 = 124,275.70 : x
  2. Step 2: Convert to fraction form
    199,120.51/297,978.90 = 124,275.70/x
  3. Step 3: Cross multiply
    199,120.51x = 297,978.90 × 124,275.70
  4. Step 4: Simplify right side
    199,120.51x = 37,031,536,382.73
  5. Step 5: Solve for x
    x = 37,031,536,382.73/199,120.51
  6. Step 6: Final answer
    x = 185,975.50

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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.