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Finding the Fourth Proportional to 66,452.91, 99,695.76 and 19,705.78

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Solution

The fourth proportional to 66,452.91, 99,695.76 and 19,705.78 is: 29,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,452.91 : 99,695.76 = 19,705.78 : x
  2. Step 2: Convert to fraction form
    66,452.91/99,695.76 = 19,705.78/x
  3. Step 3: Cross multiply
    66,452.91x = 99,695.76 × 19,705.78
  4. Step 4: Simplify right side
    66,452.91x = 1,964,582,875.06
  5. Step 5: Solve for x
    x = 1,964,582,875.06/66,452.91
  6. Step 6: Final answer
    x = 29,563.54

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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.