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Finding the Fourth Proportional to 64,206.30, 96,319.71 and 19,822.62

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Solution

The fourth proportional to 64,206.30, 96,319.71 and 19,822.62 is: 29,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.30 : 96,319.71 = 19,822.62 : x
  2. Step 2: Convert to fraction form
    64,206.30/96,319.71 = 19,822.62/x
  3. Step 3: Cross multiply
    64,206.30x = 96,319.71 × 19,822.62
  4. Step 4: Simplify right side
    64,206.30x = 1,909,309,009.84
  5. Step 5: Solve for x
    x = 1,909,309,009.84/64,206.30
  6. Step 6: Final answer
    x = 29,737.10

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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.