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Finding the Fourth Proportional to 64,209.70, 96,314.55 and 57,664.90

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Solution

The fourth proportional to 64,209.70, 96,314.55 and 57,664.90 is: 86,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.70 : 96,314.55 = 57,664.90 : x
  2. Step 2: Convert to fraction form
    64,209.70/96,314.55 = 57,664.90/x
  3. Step 3: Cross multiply
    64,209.70x = 96,314.55 × 57,664.90
  4. Step 4: Simplify right side
    64,209.70x = 5,553,968,894.30
  5. Step 5: Solve for x
    x = 5,553,968,894.30/64,209.70
  6. Step 6: Final answer
    x = 86,497.35

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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.