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Finding the Fourth Proportional to 65,774.16, 98,662.46 and 21,400.74

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Solution

The fourth proportional to 65,774.16, 98,662.46 and 21,400.74 is: 32,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.16 : 98,662.46 = 21,400.74 : x
  2. Step 2: Convert to fraction form
    65,774.16/98,662.46 = 21,400.74/x
  3. Step 3: Cross multiply
    65,774.16x = 98,662.46 × 21,400.74
  4. Step 4: Simplify right side
    65,774.16x = 2,111,449,547.22
  5. Step 5: Solve for x
    x = 2,111,449,547.22/65,774.16
  6. Step 6: Final answer
    x = 32,101.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.