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Finding the Fourth Proportional to 105.47, 145.47 and 84.77

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Solution

The fourth proportional to 105.47, 145.47 and 84.77 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 145.47 = 84.77 : x
  2. Step 2: Convert to fraction form
    105.47/145.47 = 84.77/x
  3. Step 3: Cross multiply
    105.47x = 145.47 × 84.77
  4. Step 4: Simplify right side
    105.47x = 12,331.49
  5. Step 5: Solve for x
    x = 12,331.49/105.47
  6. Step 6: Final answer
    x = 116.92

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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.