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Finding the Fourth Proportional to 76,142.88, 114,255.36 and 36,152.64

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Solution

The fourth proportional to 76,142.88, 114,255.36 and 36,152.64 is: 54,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.88 : 114,255.36 = 36,152.64 : x
  2. Step 2: Convert to fraction form
    76,142.88/114,255.36 = 36,152.64/x
  3. Step 3: Cross multiply
    76,142.88x = 114,255.36 × 36,152.64
  4. Step 4: Simplify right side
    76,142.88x = 4,130,632,898.15
  5. Step 5: Solve for x
    x = 4,130,632,898.15/76,142.88
  6. Step 6: Final answer
    x = 54,248.45

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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.