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Finding the Fourth Proportional to 64,178.81, 96,281.04 and 19,803.89

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Solution

The fourth proportional to 64,178.81, 96,281.04 and 19,803.89 is: 29,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,178.81 : 96,281.04 = 19,803.89 : x
  2. Step 2: Convert to fraction form
    64,178.81/96,281.04 = 19,803.89/x
  3. Step 3: Cross multiply
    64,178.81x = 96,281.04 × 19,803.89
  4. Step 4: Simplify right side
    64,178.81x = 1,906,738,643.84
  5. Step 5: Solve for x
    x = 1,906,738,643.84/64,178.81
  6. Step 6: Final answer
    x = 29,709.79

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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.