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Finding the Fourth Proportional to 57,798.76, 79,738.68 and 45,814

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Solution

The fourth proportional to 57,798.76, 79,738.68 and 45,814 is: 63,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798.76 : 79,738.68 = 45,814 : x
  2. Step 2: Convert to fraction form
    57,798.76/79,738.68 = 45,814/x
  3. Step 3: Cross multiply
    57,798.76x = 79,738.68 × 45,814
  4. Step 4: Simplify right side
    57,798.76x = 3,653,147,885.52
  5. Step 5: Solve for x
    x = 3,653,147,885.52/57,798.76
  6. Step 6: Final answer
    x = 63,204.61

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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.