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Finding the Fourth Proportional to 87,212, 130,837.50 and 31,808

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Solution

The fourth proportional to 87,212, 130,837.50 and 31,808 is: 47,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,212 : 130,837.50 = 31,808 : x
  2. Step 2: Convert to fraction form
    87,212/130,837.50 = 31,808/x
  3. Step 3: Cross multiply
    87,212x = 130,837.50 × 31,808
  4. Step 4: Simplify right side
    87,212x = 4,161,679,200
  5. Step 5: Solve for x
    x = 4,161,679,200/87,212
  6. Step 6: Final answer
    x = 47,719.11

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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.