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Finding the Fourth Proportional to 76,434.88, 114,636.96 and 61,728.96

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Solution

The fourth proportional to 76,434.88, 114,636.96 and 61,728.96 is: 92,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.88 : 114,636.96 = 61,728.96 : x
  2. Step 2: Convert to fraction form
    76,434.88/114,636.96 = 61,728.96/x
  3. Step 3: Cross multiply
    76,434.88x = 114,636.96 × 61,728.96
  4. Step 4: Simplify right side
    76,434.88x = 7,076,420,318.36
  5. Step 5: Solve for x
    x = 7,076,420,318.36/76,434.88
  6. Step 6: Final answer
    x = 92,581.04

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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.