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Finding the Fourth Proportional to 103,304.64, 142,548.64 and 57,976.48

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Solution

The fourth proportional to 103,304.64, 142,548.64 and 57,976.48 is: 80,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,304.64 : 142,548.64 = 57,976.48 : x
  2. Step 2: Convert to fraction form
    103,304.64/142,548.64 = 57,976.48/x
  3. Step 3: Cross multiply
    103,304.64x = 142,548.64 × 57,976.48
  4. Step 4: Simplify right side
    103,304.64x = 8,264,468,375.99
  5. Step 5: Solve for x
    x = 8,264,468,375.99/103,304.64
  6. Step 6: Final answer
    x = 80,000.94

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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.