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Finding the Fourth Proportional to 63,754, 95,646.36 and 19,978

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Solution

The fourth proportional to 63,754, 95,646.36 and 19,978 is: 29,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,754 : 95,646.36 = 19,978 : x
  2. Step 2: Convert to fraction form
    63,754/95,646.36 = 19,978/x
  3. Step 3: Cross multiply
    63,754x = 95,646.36 × 19,978
  4. Step 4: Simplify right side
    63,754x = 1,910,822,980.08
  5. Step 5: Solve for x
    x = 1,910,822,980.08/63,754
  6. Step 6: Final answer
    x = 29,971.81

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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.