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Finding the Fourth Proportional to 72,776.64, 109,059.36 and 39,468.48

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Solution

The fourth proportional to 72,776.64, 109,059.36 and 39,468.48 is: 59,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776.64 : 109,059.36 = 39,468.48 : x
  2. Step 2: Convert to fraction form
    72,776.64/109,059.36 = 39,468.48/x
  3. Step 3: Cross multiply
    72,776.64x = 109,059.36 × 39,468.48
  4. Step 4: Simplify right side
    72,776.64x = 4,304,407,168.97
  5. Step 5: Solve for x
    x = 4,304,407,168.97/72,776.64
  6. Step 6: Final answer
    x = 59,145.45

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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.