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Finding the Fourth Proportional to 93.59, 139.63 and 83.80

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Solution

The fourth proportional to 93.59, 139.63 and 83.80 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.59 : 139.63 = 83.80 : x
  2. Step 2: Convert to fraction form
    93.59/139.63 = 83.80/x
  3. Step 3: Cross multiply
    93.59x = 139.63 × 83.80
  4. Step 4: Simplify right side
    93.59x = 11,699.88
  5. Step 5: Solve for x
    x = 11,699.88/93.59
  6. Step 6: Final answer
    x = 125.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.