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Finding the Fourth Proportional to 87,381, 131,038.18 and 31,210.64

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Solution

The fourth proportional to 87,381, 131,038.18 and 31,210.64 is: 46,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,381 : 131,038.18 = 31,210.64 : x
  2. Step 2: Convert to fraction form
    87,381/131,038.18 = 31,210.64/x
  3. Step 3: Cross multiply
    87,381x = 131,038.18 × 31,210.64
  4. Step 4: Simplify right side
    87,381x = 4,089,785,462.24
  5. Step 5: Solve for x
    x = 4,089,785,462.24/87,381
  6. Step 6: Final answer
    x = 46,804.06

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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.