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Finding the Fourth Proportional to 51,111, 70,534.26 and 28,755

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Solution

The fourth proportional to 51,111, 70,534.26 and 28,755 is: 39,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 70,534.26 = 28,755 : x
  2. Step 2: Convert to fraction form
    51,111/70,534.26 = 28,755/x
  3. Step 3: Cross multiply
    51,111x = 70,534.26 × 28,755
  4. Step 4: Simplify right side
    51,111x = 2,028,212,646.30
  5. Step 5: Solve for x
    x = 2,028,212,646.30/51,111
  6. Step 6: Final answer
    x = 39,682.51

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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.