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Finding the Fourth Proportional to 125.83, 189.68 and 117.47

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Solution

The fourth proportional to 125.83, 189.68 and 117.47 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.83 : 189.68 = 117.47 : x
  2. Step 2: Convert to fraction form
    125.83/189.68 = 117.47/x
  3. Step 3: Cross multiply
    125.83x = 189.68 × 117.47
  4. Step 4: Simplify right side
    125.83x = 22,281.05
  5. Step 5: Solve for x
    x = 22,281.05/125.83
  6. Step 6: Final answer
    x = 177.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.