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Finding the Fourth Proportional to 124.90, 188.28 and 117.07

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Solution

The fourth proportional to 124.90, 188.28 and 117.07 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.90 : 188.28 = 117.07 : x
  2. Step 2: Convert to fraction form
    124.90/188.28 = 117.07/x
  3. Step 3: Cross multiply
    124.90x = 188.28 × 117.07
  4. Step 4: Simplify right side
    124.90x = 22,041.47
  5. Step 5: Solve for x
    x = 22,041.47/124.90
  6. Step 6: Final answer
    x = 176.48

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