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Finding the Fourth Proportional to 71,530.78, 107,335.05 and 30,006.94

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Solution

The fourth proportional to 71,530.78, 107,335.05 and 30,006.94 is: 45,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.78 : 107,335.05 = 30,006.94 : x
  2. Step 2: Convert to fraction form
    71,530.78/107,335.05 = 30,006.94/x
  3. Step 3: Cross multiply
    71,530.78x = 107,335.05 × 30,006.94
  4. Step 4: Simplify right side
    71,530.78x = 3,220,796,405.25
  5. Step 5: Solve for x
    x = 3,220,796,405.25/71,530.78
  6. Step 6: Final answer
    x = 45,026.72

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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.