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Finding the Fourth Proportional to 102.47, 141.62 and 89.37

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Solution

The fourth proportional to 102.47, 141.62 and 89.37 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 141.62 = 89.37 : x
  2. Step 2: Convert to fraction form
    102.47/141.62 = 89.37/x
  3. Step 3: Cross multiply
    102.47x = 141.62 × 89.37
  4. Step 4: Simplify right side
    102.47x = 12,656.13
  5. Step 5: Solve for x
    x = 12,656.13/102.47
  6. Step 6: Final answer
    x = 123.52

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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.