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Finding the Fourth Proportional to 66,461.72, 99,693.18 and 19,714.59

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Solution

The fourth proportional to 66,461.72, 99,693.18 and 19,714.59 is: 29,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,461.72 : 99,693.18 = 19,714.59 : x
  2. Step 2: Convert to fraction form
    66,461.72/99,693.18 = 19,714.59/x
  3. Step 3: Cross multiply
    66,461.72x = 99,693.18 × 19,714.59
  4. Step 4: Simplify right side
    66,461.72x = 1,965,410,169.50
  5. Step 5: Solve for x
    x = 1,965,410,169.50/66,461.72
  6. Step 6: Final answer
    x = 29,572.07

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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.