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Finding the Fourth Proportional to 87,210.50, 130,835.25 and 31,806.50

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Solution

The fourth proportional to 87,210.50, 130,835.25 and 31,806.50 is: 47,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,210.50 : 130,835.25 = 31,806.50 : x
  2. Step 2: Convert to fraction form
    87,210.50/130,835.25 = 31,806.50/x
  3. Step 3: Cross multiply
    87,210.50x = 130,835.25 × 31,806.50
  4. Step 4: Simplify right side
    87,210.50x = 4,161,411,379.13
  5. Step 5: Solve for x
    x = 4,161,411,379.13/87,210.50
  6. Step 6: Final answer
    x = 47,716.86

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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.