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Finding the Fourth Proportional to 86,980.34, 130,528.92 and 31,576.34

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Solution

The fourth proportional to 86,980.34, 130,528.92 and 31,576.34 is: 47,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980.34 : 130,528.92 = 31,576.34 : x
  2. Step 2: Convert to fraction form
    86,980.34/130,528.92 = 31,576.34/x
  3. Step 3: Cross multiply
    86,980.34x = 130,528.92 × 31,576.34
  4. Step 4: Simplify right side
    86,980.34x = 4,121,625,557.75
  5. Step 5: Solve for x
    x = 4,121,625,557.75/86,980.34
  6. Step 6: Final answer
    x = 47,385.71

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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.