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Finding the Fourth Proportional to 199,653.75, 299,332.98 and 120,750.48

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Solution

The fourth proportional to 199,653.75, 299,332.98 and 120,750.48 is: 181,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,653.75 : 299,332.98 = 120,750.48 : x
  2. Step 2: Convert to fraction form
    199,653.75/299,332.98 = 120,750.48/x
  3. Step 3: Cross multiply
    199,653.75x = 299,332.98 × 120,750.48
  4. Step 4: Simplify right side
    199,653.75x = 36,144,601,014.83
  5. Step 5: Solve for x
    x = 36,144,601,014.83/199,653.75
  6. Step 6: Final answer
    x = 181,036.42

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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.