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Finding the Fourth Proportional to 86,855.76, 130,358.34 and 49,490.87

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Solution

The fourth proportional to 86,855.76, 130,358.34 and 49,490.87 is: 74,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,855.76 : 130,358.34 = 49,490.87 : x
  2. Step 2: Convert to fraction form
    86,855.76/130,358.34 = 49,490.87/x
  3. Step 3: Cross multiply
    86,855.76x = 130,358.34 × 49,490.87
  4. Step 4: Simplify right side
    86,855.76x = 6,451,547,006.56
  5. Step 5: Solve for x
    x = 6,451,547,006.56/86,855.76
  6. Step 6: Final answer
    x = 74,278.86

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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.