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Finding the Fourth Proportional to 51,480, 71,003.52 and 35,591.04

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Solution

The fourth proportional to 51,480, 71,003.52 and 35,591.04 is: 49,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480 : 71,003.52 = 35,591.04 : x
  2. Step 2: Convert to fraction form
    51,480/71,003.52 = 35,591.04/x
  3. Step 3: Cross multiply
    51,480x = 71,003.52 × 35,591.04
  4. Step 4: Simplify right side
    51,480x = 2,527,089,120.46
  5. Step 5: Solve for x
    x = 2,527,089,120.46/51,480
  6. Step 6: Final answer
    x = 49,088.76

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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.