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Finding the Fourth Proportional to 51,655, 71,292.54 and 29,311.96

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Solution

The fourth proportional to 51,655, 71,292.54 and 29,311.96 is: 40,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,655 : 71,292.54 = 29,311.96 : x
  2. Step 2: Convert to fraction form
    51,655/71,292.54 = 29,311.96/x
  3. Step 3: Cross multiply
    51,655x = 71,292.54 × 29,311.96
  4. Step 4: Simplify right side
    51,655x = 2,089,724,080.78
  5. Step 5: Solve for x
    x = 2,089,724,080.78/51,655
  6. Step 6: Final answer
    x = 40,455.41

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1.5x scale

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.