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Finding the Fourth Proportional to 181,466.50, 250,423.78 and 101,978.50

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Solution

The fourth proportional to 181,466.50, 250,423.78 and 101,978.50 is: 140,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,466.50 : 250,423.78 = 101,978.50 : x
  2. Step 2: Convert to fraction form
    181,466.50/250,423.78 = 101,978.50/x
  3. Step 3: Cross multiply
    181,466.50x = 250,423.78 × 101,978.50
  4. Step 4: Simplify right side
    181,466.50x = 25,537,841,448.73
  5. Step 5: Solve for x
    x = 25,537,841,448.73/181,466.50
  6. Step 6: Final answer
    x = 140,730.34

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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.