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Finding the Fourth Proportional to 77,851, 107,434.50 and 44,317

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Solution

The fourth proportional to 77,851, 107,434.50 and 44,317 is: 61,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,851 : 107,434.50 = 44,317 : x
  2. Step 2: Convert to fraction form
    77,851/107,434.50 = 44,317/x
  3. Step 3: Cross multiply
    77,851x = 107,434.50 × 44,317
  4. Step 4: Simplify right side
    77,851x = 4,761,174,736.50
  5. Step 5: Solve for x
    x = 4,761,174,736.50/77,851
  6. Step 6: Final answer
    x = 61,157.53

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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.