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Finding the Fourth Proportional to 99.72, 137.63 and 56.07

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Solution

The fourth proportional to 99.72, 137.63 and 56.07 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.72 : 137.63 = 56.07 : x
  2. Step 2: Convert to fraction form
    99.72/137.63 = 56.07/x
  3. Step 3: Cross multiply
    99.72x = 137.63 × 56.07
  4. Step 4: Simplify right side
    99.72x = 7,716.63
  5. Step 5: Solve for x
    x = 7,716.63/99.72
  6. Step 6: Final answer
    x = 77.38

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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.