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Finding the Fourth Proportional to 57,111.75, 78,803.28 and 36,965.84

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Solution

The fourth proportional to 57,111.75, 78,803.28 and 36,965.84 is: 51,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.75 : 78,803.28 = 36,965.84 : x
  2. Step 2: Convert to fraction form
    57,111.75/78,803.28 = 36,965.84/x
  3. Step 3: Cross multiply
    57,111.75x = 78,803.28 × 36,965.84
  4. Step 4: Simplify right side
    57,111.75x = 2,913,029,045.94
  5. Step 5: Solve for x
    x = 2,913,029,045.94/57,111.75
  6. Step 6: Final answer
    x = 51,005.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.