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Finding the Fourth Proportional to 65,883.64, 98,835 and 21,501.16

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Solution

The fourth proportional to 65,883.64, 98,835 and 21,501.16 is: 32,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.64 : 98,835 = 21,501.16 : x
  2. Step 2: Convert to fraction form
    65,883.64/98,835 = 21,501.16/x
  3. Step 3: Cross multiply
    65,883.64x = 98,835 × 21,501.16
  4. Step 4: Simplify right side
    65,883.64x = 2,125,067,148.60
  5. Step 5: Solve for x
    x = 2,125,067,148.60/65,883.64
  6. Step 6: Final answer
    x = 32,254.85

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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.