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Finding the Fourth Proportional to 71,533.48, 98,704.82 and 39,701.70

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Solution

The fourth proportional to 71,533.48, 98,704.82 and 39,701.70 is: 54,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,533.48 : 98,704.82 = 39,701.70 : x
  2. Step 2: Convert to fraction form
    71,533.48/98,704.82 = 39,701.70/x
  3. Step 3: Cross multiply
    71,533.48x = 98,704.82 × 39,701.70
  4. Step 4: Simplify right side
    71,533.48x = 3,918,749,152.19
  5. Step 5: Solve for x
    x = 3,918,749,152.19/71,533.48
  6. Step 6: Final answer
    x = 54,782.03

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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.