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Finding the Fourth Proportional to 47,987, 72,006.42 and 23,363

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Solution

The fourth proportional to 47,987, 72,006.42 and 23,363 is: 35,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987 : 72,006.42 = 23,363 : x
  2. Step 2: Convert to fraction form
    47,987/72,006.42 = 23,363/x
  3. Step 3: Cross multiply
    47,987x = 72,006.42 × 23,363
  4. Step 4: Simplify right side
    47,987x = 1,682,285,990.46
  5. Step 5: Solve for x
    x = 1,682,285,990.46/47,987
  6. Step 6: Final answer
    x = 35,057.12

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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.