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Finding the Fourth Proportional to 65,200.64, 97,840 and 28,264.64

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Solution

The fourth proportional to 65,200.64, 97,840 and 28,264.64 is: 42,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.64 : 97,840 = 28,264.64 : x
  2. Step 2: Convert to fraction form
    65,200.64/97,840 = 28,264.64/x
  3. Step 3: Cross multiply
    65,200.64x = 97,840 × 28,264.64
  4. Step 4: Simplify right side
    65,200.64x = 2,765,412,377.60
  5. Step 5: Solve for x
    x = 2,765,412,377.60/65,200.64
  6. Step 6: Final answer
    x = 42,413.88

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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.