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Finding the Fourth Proportional to 85,874.58, 118,513.80 and 47,637.90

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Solution

The fourth proportional to 85,874.58, 118,513.80 and 47,637.90 is: 65,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874.58 : 118,513.80 = 47,637.90 : x
  2. Step 2: Convert to fraction form
    85,874.58/118,513.80 = 47,637.90/x
  3. Step 3: Cross multiply
    85,874.58x = 118,513.80 × 47,637.90
  4. Step 4: Simplify right side
    85,874.58x = 5,645,748,553.02
  5. Step 5: Solve for x
    x = 5,645,748,553.02/85,874.58
  6. Step 6: Final answer
    x = 65,744.12

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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.