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Finding the Fourth Proportional to 71,326.15, 107,007 and 21,407.17

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Solution

The fourth proportional to 71,326.15, 107,007 and 21,407.17 is: 32,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326.15 : 107,007 = 21,407.17 : x
  2. Step 2: Convert to fraction form
    71,326.15/107,007 = 21,407.17/x
  3. Step 3: Cross multiply
    71,326.15x = 107,007 × 21,407.17
  4. Step 4: Simplify right side
    71,326.15x = 2,290,717,040.19
  5. Step 5: Solve for x
    x = 2,290,717,040.19/71,326.15
  6. Step 6: Final answer
    x = 32,116.09

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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.