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Finding the Fourth Proportional to 87,083.89, 130,684.02 and 31,679.89

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Solution

The fourth proportional to 87,083.89, 130,684.02 and 31,679.89 is: 47,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,083.89 : 130,684.02 = 31,679.89 : x
  2. Step 2: Convert to fraction form
    87,083.89/130,684.02 = 31,679.89/x
  3. Step 3: Cross multiply
    87,083.89x = 130,684.02 × 31,679.89
  4. Step 4: Simplify right side
    87,083.89x = 4,140,055,378.36
  5. Step 5: Solve for x
    x = 4,140,055,378.36/87,083.89
  6. Step 6: Final answer
    x = 47,541.00

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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.