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Finding the Fourth Proportional to 201,141.79, 301,715.45 and 51,383.32

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Solution

The fourth proportional to 201,141.79, 301,715.45 and 51,383.32 is: 77,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.79 : 301,715.45 = 51,383.32 : x
  2. Step 2: Convert to fraction form
    201,141.79/301,715.45 = 51,383.32/x
  3. Step 3: Cross multiply
    201,141.79x = 301,715.45 × 51,383.32
  4. Step 4: Simplify right side
    201,141.79x = 15,503,141,516.29
  5. Step 5: Solve for x
    x = 15,503,141,516.29/201,141.79
  6. Step 6: Final answer
    x = 77,075.69

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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.