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Finding the Fourth Proportional to 64,209.20, 96,323.04 and 19,839.84

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Solution

The fourth proportional to 64,209.20, 96,323.04 and 19,839.84 is: 29,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.20 : 96,323.04 = 19,839.84 : x
  2. Step 2: Convert to fraction form
    64,209.20/96,323.04 = 19,839.84/x
  3. Step 3: Cross multiply
    64,209.20x = 96,323.04 × 19,839.84
  4. Step 4: Simplify right side
    64,209.20x = 1,911,033,701.91
  5. Step 5: Solve for x
    x = 1,911,033,701.91/64,209.20
  6. Step 6: Final answer
    x = 29,762.62

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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.