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Finding the Fourth Proportional to 65,866.64, 98,800.03 and 30,830.90

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Solution

The fourth proportional to 65,866.64, 98,800.03 and 30,830.90 is: 46,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866.64 : 98,800.03 = 30,830.90 : x
  2. Step 2: Convert to fraction form
    65,866.64/98,800.03 = 30,830.90/x
  3. Step 3: Cross multiply
    65,866.64x = 98,800.03 × 30,830.90
  4. Step 4: Simplify right side
    65,866.64x = 3,046,093,844.93
  5. Step 5: Solve for x
    x = 3,046,093,844.93/65,866.64
  6. Step 6: Final answer
    x = 46,246.38

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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.