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Finding the Fourth Proportional to 181,188.58, 250,042 and 105,722.50

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Solution

The fourth proportional to 181,188.58, 250,042 and 105,722.50 is: 145,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,188.58 : 250,042 = 105,722.50 : x
  2. Step 2: Convert to fraction form
    181,188.58/250,042 = 105,722.50/x
  3. Step 3: Cross multiply
    181,188.58x = 250,042 × 105,722.50
  4. Step 4: Simplify right side
    181,188.58x = 26,435,065,345
  5. Step 5: Solve for x
    x = 26,435,065,345/181,188.58
  6. Step 6: Final answer
    x = 145,898.08

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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.