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Finding the Fourth Proportional to 76,652.64, 114,974.16 and 28,611.87

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Solution

The fourth proportional to 76,652.64, 114,974.16 and 28,611.87 is: 42,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652.64 : 114,974.16 = 28,611.87 : x
  2. Step 2: Convert to fraction form
    76,652.64/114,974.16 = 28,611.87/x
  3. Step 3: Cross multiply
    76,652.64x = 114,974.16 × 28,611.87
  4. Step 4: Simplify right side
    76,652.64x = 3,289,625,719.28
  5. Step 5: Solve for x
    x = 3,289,625,719.28/76,652.64
  6. Step 6: Final answer
    x = 42,916.01

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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.