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Finding the Fourth Proportional to 85,900, 118,593.84 and 56,143.84

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Solution

The fourth proportional to 85,900, 118,593.84 and 56,143.84 is: 77,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,900 : 118,593.84 = 56,143.84 : x
  2. Step 2: Convert to fraction form
    85,900/118,593.84 = 56,143.84/x
  3. Step 3: Cross multiply
    85,900x = 118,593.84 × 56,143.84
  4. Step 4: Simplify right side
    85,900x = 6,658,313,577.95
  5. Step 5: Solve for x
    x = 6,658,313,577.95/85,900
  6. Step 6: Final answer
    x = 77,512.38

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1.5x scale

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.