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Finding the Fourth Proportional to 75,699.32, 104,535.72 and 47,454.21

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Solution

The fourth proportional to 75,699.32, 104,535.72 and 47,454.21 is: 65,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699.32 : 104,535.72 = 47,454.21 : x
  2. Step 2: Convert to fraction form
    75,699.32/104,535.72 = 47,454.21/x
  3. Step 3: Cross multiply
    75,699.32x = 104,535.72 × 47,454.21
  4. Step 4: Simplify right side
    75,699.32x = 4,960,660,009.38
  5. Step 5: Solve for x
    x = 4,960,660,009.38/75,699.32
  6. Step 6: Final answer
    x = 65,531.11

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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.