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Finding the Fourth Proportional to 276,971.87, 415,513.70 and 87,461.84

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Solution

The fourth proportional to 276,971.87, 415,513.70 and 87,461.84 is: 131,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,971.87 : 415,513.70 = 87,461.84 : x
  2. Step 2: Convert to fraction form
    276,971.87/415,513.70 = 87,461.84/x
  3. Step 3: Cross multiply
    276,971.87x = 415,513.70 × 87,461.84
  4. Step 4: Simplify right side
    276,971.87x = 36,341,592,309.90
  5. Step 5: Solve for x
    x = 36,341,592,309.90/276,971.87
  6. Step 6: Final answer
    x = 131,210.41

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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.