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Finding the Fourth Proportional to 87,082.89, 130,682.52 and 31,678.89

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Solution

The fourth proportional to 87,082.89, 130,682.52 and 31,678.89 is: 47,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,082.89 : 130,682.52 = 31,678.89 : x
  2. Step 2: Convert to fraction form
    87,082.89/130,682.52 = 31,678.89/x
  3. Step 3: Cross multiply
    87,082.89x = 130,682.52 × 31,678.89
  4. Step 4: Simplify right side
    87,082.89x = 4,139,877,176.00
  5. Step 5: Solve for x
    x = 4,139,877,176.00/87,082.89
  6. Step 6: Final answer
    x = 47,539.50

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1.5x scale

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.