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Finding the Fourth Proportional to 201,345.62, 301,830.57 and 68,133.20

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Solution

The fourth proportional to 201,345.62, 301,830.57 and 68,133.20 is: 102,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,345.62 : 301,830.57 = 68,133.20 : x
  2. Step 2: Convert to fraction form
    201,345.62/301,830.57 = 68,133.20/x
  3. Step 3: Cross multiply
    201,345.62x = 301,830.57 × 68,133.20
  4. Step 4: Simplify right side
    201,345.62x = 20,564,681,082.77
  5. Step 5: Solve for x
    x = 20,564,681,082.77/201,345.62
  6. Step 6: Final answer
    x = 102,136.23

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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.