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Finding the Fourth Proportional to 201,381.64, 302,203.86 and 75,122.89

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Solution

The fourth proportional to 201,381.64, 302,203.86 and 75,122.89 is: 112,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,381.64 : 302,203.86 = 75,122.89 : x
  2. Step 2: Convert to fraction form
    201,381.64/302,203.86 = 75,122.89/x
  3. Step 3: Cross multiply
    201,381.64x = 302,203.86 × 75,122.89
  4. Step 4: Simplify right side
    201,381.64x = 22,702,427,332.36
  5. Step 5: Solve for x
    x = 22,702,427,332.36/201,381.64
  6. Step 6: Final answer
    x = 112,733.35

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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.