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Finding the Fourth Proportional to 110,164.32, 165,216.96 and 47,820

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Solution

The fourth proportional to 110,164.32, 165,216.96 and 47,820 is: 71,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,164.32 : 165,216.96 = 47,820 : x
  2. Step 2: Convert to fraction form
    110,164.32/165,216.96 = 47,820/x
  3. Step 3: Cross multiply
    110,164.32x = 165,216.96 × 47,820
  4. Step 4: Simplify right side
    110,164.32x = 7,900,675,027.20
  5. Step 5: Solve for x
    x = 7,900,675,027.20/110,164.32
  6. Step 6: Final answer
    x = 71,717.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.