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Finding the Fourth Proportional to 201,077.88, 301,616.64 and 51,318.16

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Solution

The fourth proportional to 201,077.88, 301,616.64 and 51,318.16 is: 76,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.88 : 301,616.64 = 51,318.16 : x
  2. Step 2: Convert to fraction form
    201,077.88/301,616.64 = 51,318.16/x
  3. Step 3: Cross multiply
    201,077.88x = 301,616.64 × 51,318.16
  4. Step 4: Simplify right side
    201,077.88x = 15,478,410,990.18
  5. Step 5: Solve for x
    x = 15,478,410,990.18/201,077.88
  6. Step 6: Final answer
    x = 76,977.19

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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.