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Finding the Fourth Proportional to 84,930.30, 127,526.67 and 45,564.30

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Solution

The fourth proportional to 84,930.30, 127,526.67 and 45,564.30 is: 68,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,930.30 : 127,526.67 = 45,564.30 : x
  2. Step 2: Convert to fraction form
    84,930.30/127,526.67 = 45,564.30/x
  3. Step 3: Cross multiply
    84,930.30x = 127,526.67 × 45,564.30
  4. Step 4: Simplify right side
    84,930.30x = 5,810,663,449.88
  5. Step 5: Solve for x
    x = 5,810,663,449.88/84,930.30
  6. Step 6: Final answer
    x = 68,416.85

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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.