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Finding the Fourth Proportional to 113,629.64, 156,805.84 and 65,230.16

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Solution

The fourth proportional to 113,629.64, 156,805.84 and 65,230.16 is: 90,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,629.64 : 156,805.84 = 65,230.16 : x
  2. Step 2: Convert to fraction form
    113,629.64/156,805.84 = 65,230.16/x
  3. Step 3: Cross multiply
    113,629.64x = 156,805.84 × 65,230.16
  4. Step 4: Simplify right side
    113,629.64x = 10,228,470,032.13
  5. Step 5: Solve for x
    x = 10,228,470,032.13/113,629.64
  6. Step 6: Final answer
    x = 90,015.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.