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Finding the Fourth Proportional to 55,364.64, 76,404 and 30,213.60

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Solution

The fourth proportional to 55,364.64, 76,404 and 30,213.60 is: 41,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,364.64 : 76,404 = 30,213.60 : x
  2. Step 2: Convert to fraction form
    55,364.64/76,404 = 30,213.60/x
  3. Step 3: Cross multiply
    55,364.64x = 76,404 × 30,213.60
  4. Step 4: Simplify right side
    55,364.64x = 2,308,439,894.40
  5. Step 5: Solve for x
    x = 2,308,439,894.40/55,364.64
  6. Step 6: Final answer
    x = 41,695.20

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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.