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Finding the Fourth Proportional to 128,735.16, 193,132.14 and 45,629.16

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Solution

The fourth proportional to 128,735.16, 193,132.14 and 45,629.16 is: 68,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,735.16 : 193,132.14 = 45,629.16 : x
  2. Step 2: Convert to fraction form
    128,735.16/193,132.14 = 45,629.16/x
  3. Step 3: Cross multiply
    128,735.16x = 193,132.14 × 45,629.16
  4. Step 4: Simplify right side
    128,735.16x = 8,812,457,317.20
  5. Step 5: Solve for x
    x = 8,812,457,317.20/128,735.16
  6. Step 6: Final answer
    x = 68,454.16

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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.