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Finding the Fourth Proportional to 201,143.84, 301,718.40 and 51,385.36

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Solution

The fourth proportional to 201,143.84, 301,718.40 and 51,385.36 is: 77,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,143.84 : 301,718.40 = 51,385.36 : x
  2. Step 2: Convert to fraction form
    201,143.84/301,718.40 = 51,385.36/x
  3. Step 3: Cross multiply
    201,143.84x = 301,718.40 × 51,385.36
  4. Step 4: Simplify right side
    201,143.84x = 15,503,908,602.62
  5. Step 5: Solve for x
    x = 15,503,908,602.62/201,143.84
  6. Step 6: Final answer
    x = 77,078.71

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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.