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Finding the Fourth Proportional to 57,765, 79,715.70 and 31,269

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Solution

The fourth proportional to 57,765, 79,715.70 and 31,269 is: 43,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765 : 79,715.70 = 31,269 : x
  2. Step 2: Convert to fraction form
    57,765/79,715.70 = 31,269/x
  3. Step 3: Cross multiply
    57,765x = 79,715.70 × 31,269
  4. Step 4: Simplify right side
    57,765x = 2,492,630,223.30
  5. Step 5: Solve for x
    x = 2,492,630,223.30/57,765
  6. Step 6: Final answer
    x = 43,151.22

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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.