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Finding the Fourth Proportional to 65,864.64, 98,797.03 and 30,828.90

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Solution

The fourth proportional to 65,864.64, 98,797.03 and 30,828.90 is: 46,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864.64 : 98,797.03 = 30,828.90 : x
  2. Step 2: Convert to fraction form
    65,864.64/98,797.03 = 30,828.90/x
  3. Step 3: Cross multiply
    65,864.64x = 98,797.03 × 30,828.90
  4. Step 4: Simplify right side
    65,864.64x = 3,045,803,758.17
  5. Step 5: Solve for x
    x = 3,045,803,758.17/65,864.64
  6. Step 6: Final answer
    x = 46,243.38

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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.