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Finding the Fourth Proportional to 201,113.90, 301,478.85 and 74,720.30

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Solution

The fourth proportional to 201,113.90, 301,478.85 and 74,720.30 is: 112,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.90 : 301,478.85 = 74,720.30 : x
  2. Step 2: Convert to fraction form
    201,113.90/301,478.85 = 74,720.30/x
  3. Step 3: Cross multiply
    201,113.90x = 301,478.85 × 74,720.30
  4. Step 4: Simplify right side
    201,113.90x = 22,526,590,115.66
  5. Step 5: Solve for x
    x = 22,526,590,115.66/201,113.90
  6. Step 6: Final answer
    x = 112,009.12

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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.