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Finding the Fourth Proportional to 65,200.55, 97,800.82 and 30,135.65

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Solution

The fourth proportional to 65,200.55, 97,800.82 and 30,135.65 is: 45,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.55 : 97,800.82 = 30,135.65 : x
  2. Step 2: Convert to fraction form
    65,200.55/97,800.82 = 30,135.65/x
  3. Step 3: Cross multiply
    65,200.55x = 97,800.82 × 30,135.65
  4. Step 4: Simplify right side
    65,200.55x = 2,947,290,716.89
  5. Step 5: Solve for x
    x = 2,947,290,716.89/65,200.55
  6. Step 6: Final answer
    x = 45,203.47

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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.