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Finding the Fourth Proportional to 201,111.90, 301,475.85 and 74,718.30

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Solution

The fourth proportional to 201,111.90, 301,475.85 and 74,718.30 is: 112,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,111.90 : 301,475.85 = 74,718.30 : x
  2. Step 2: Convert to fraction form
    201,111.90/301,475.85 = 74,718.30/x
  3. Step 3: Cross multiply
    201,111.90x = 301,475.85 × 74,718.30
  4. Step 4: Simplify right side
    201,111.90x = 22,525,763,003.06
  5. Step 5: Solve for x
    x = 22,525,763,003.06/201,111.90
  6. Step 6: Final answer
    x = 112,006.12

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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.