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Finding the Fourth Proportional to 65,203.20, 97,805.52 and 20,829.60

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Solution

The fourth proportional to 65,203.20, 97,805.52 and 20,829.60 is: 31,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.20 : 97,805.52 = 20,829.60 : x
  2. Step 2: Convert to fraction form
    65,203.20/97,805.52 = 20,829.60/x
  3. Step 3: Cross multiply
    65,203.20x = 97,805.52 × 20,829.60
  4. Step 4: Simplify right side
    65,203.20x = 2,037,249,859.39
  5. Step 5: Solve for x
    x = 2,037,249,859.39/65,203.20
  6. Step 6: Final answer
    x = 31,244.63

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1.5x scale

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.