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Finding the Fourth Proportional to 64,118.56, 96,178.56 and 19,744.96

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Solution

The fourth proportional to 64,118.56, 96,178.56 and 19,744.96 is: 29,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,118.56 : 96,178.56 = 19,744.96 : x
  2. Step 2: Convert to fraction form
    64,118.56/96,178.56 = 19,744.96/x
  3. Step 3: Cross multiply
    64,118.56x = 96,178.56 × 19,744.96
  4. Step 4: Simplify right side
    64,118.56x = 1,899,041,820.06
  5. Step 5: Solve for x
    x = 1,899,041,820.06/64,118.56
  6. Step 6: Final answer
    x = 29,617.66

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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.