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Finding the Fourth Proportional to 110,111.88, 165,167.82 and 47,781

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Solution

The fourth proportional to 110,111.88, 165,167.82 and 47,781 is: 71,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,111.88 : 165,167.82 = 47,781 : x
  2. Step 2: Convert to fraction form
    110,111.88/165,167.82 = 47,781/x
  3. Step 3: Cross multiply
    110,111.88x = 165,167.82 × 47,781
  4. Step 4: Simplify right side
    110,111.88x = 7,891,883,607.42
  5. Step 5: Solve for x
    x = 7,891,883,607.42/110,111.88
  6. Step 6: Final answer
    x = 71,671.50

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1.5x scale

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.