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Finding the Fourth Proportional to 75,131.10, 103,670.74 and 44,910

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Solution

The fourth proportional to 75,131.10, 103,670.74 and 44,910 is: 61,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,131.10 : 103,670.74 = 44,910 : x
  2. Step 2: Convert to fraction form
    75,131.10/103,670.74 = 44,910/x
  3. Step 3: Cross multiply
    75,131.10x = 103,670.74 × 44,910
  4. Step 4: Simplify right side
    75,131.10x = 4,655,852,933.40
  5. Step 5: Solve for x
    x = 4,655,852,933.40/75,131.10
  6. Step 6: Final answer
    x = 61,969.72

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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.