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Finding the Fourth Proportional to 64,712.76, 97,062.75 and 20,338.32

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Solution

The fourth proportional to 64,712.76, 97,062.75 and 20,338.32 is: 30,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712.76 : 97,062.75 = 20,338.32 : x
  2. Step 2: Convert to fraction form
    64,712.76/97,062.75 = 20,338.32/x
  3. Step 3: Cross multiply
    64,712.76x = 97,062.75 × 20,338.32
  4. Step 4: Simplify right side
    64,712.76x = 1,974,093,269.58
  5. Step 5: Solve for x
    x = 1,974,093,269.58/64,712.76
  6. Step 6: Final answer
    x = 30,505.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.