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Finding the Fourth Proportional to 69,762.96, 96,282 and 39,553.20

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Solution

The fourth proportional to 69,762.96, 96,282 and 39,553.20 is: 54,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,762.96 : 96,282 = 39,553.20 : x
  2. Step 2: Convert to fraction form
    69,762.96/96,282 = 39,553.20/x
  3. Step 3: Cross multiply
    69,762.96x = 96,282 × 39,553.20
  4. Step 4: Simplify right side
    69,762.96x = 3,808,261,202.40
  5. Step 5: Solve for x
    x = 3,808,261,202.40/69,762.96
  6. Step 6: Final answer
    x = 54,588.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.