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Finding the Fourth Proportional to 75,642.72, 104,385.48 and 47,364

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Solution

The fourth proportional to 75,642.72, 104,385.48 and 47,364 is: 65,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.72 : 104,385.48 = 47,364 : x
  2. Step 2: Convert to fraction form
    75,642.72/104,385.48 = 47,364/x
  3. Step 3: Cross multiply
    75,642.72x = 104,385.48 × 47,364
  4. Step 4: Simplify right side
    75,642.72x = 4,944,113,874.72
  5. Step 5: Solve for x
    x = 4,944,113,874.72/75,642.72
  6. Step 6: Final answer
    x = 65,361.40

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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.