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Finding the Fourth Proportional to 64,210.80, 96,326.49 and 19,827.12

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Solution

The fourth proportional to 64,210.80, 96,326.49 and 19,827.12 is: 29,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,210.80 : 96,326.49 = 19,827.12 : x
  2. Step 2: Convert to fraction form
    64,210.80/96,326.49 = 19,827.12/x
  3. Step 3: Cross multiply
    64,210.80x = 96,326.49 × 19,827.12
  4. Step 4: Simplify right side
    64,210.80x = 1,909,876,876.41
  5. Step 5: Solve for x
    x = 1,909,876,876.41/64,210.80
  6. Step 6: Final answer
    x = 29,743.86

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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.