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Finding the Fourth Proportional to 87,207, 130,830 and 31,803

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Solution

The fourth proportional to 87,207, 130,830 and 31,803 is: 47,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,207 : 130,830 = 31,803 : x
  2. Step 2: Convert to fraction form
    87,207/130,830 = 31,803/x
  3. Step 3: Cross multiply
    87,207x = 130,830 × 31,803
  4. Step 4: Simplify right side
    87,207x = 4,160,786,490
  5. Step 5: Solve for x
    x = 4,160,786,490/87,207
  6. Step 6: Final answer
    x = 47,711.61

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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.