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Finding the Fourth Proportional to 64,574.82, 96,995.07 and 42,419.70

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Solution

The fourth proportional to 64,574.82, 96,995.07 and 42,419.70 is: 63,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,574.82 : 96,995.07 = 42,419.70 : x
  2. Step 2: Convert to fraction form
    64,574.82/96,995.07 = 42,419.70/x
  3. Step 3: Cross multiply
    64,574.82x = 96,995.07 × 42,419.70
  4. Step 4: Simplify right side
    64,574.82x = 4,114,501,770.88
  5. Step 5: Solve for x
    x = 4,114,501,770.88/64,574.82
  6. Step 6: Final answer
    x = 63,716.81

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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.