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Finding the Fourth Proportional to 149,019.30, 205,652.04 and 85,369.40

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Solution

The fourth proportional to 149,019.30, 205,652.04 and 85,369.40 is: 117,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,019.30 : 205,652.04 = 85,369.40 : x
  2. Step 2: Convert to fraction form
    149,019.30/205,652.04 = 85,369.40/x
  3. Step 3: Cross multiply
    149,019.30x = 205,652.04 × 85,369.40
  4. Step 4: Simplify right side
    149,019.30x = 17,556,391,263.58
  5. Step 5: Solve for x
    x = 17,556,391,263.58/149,019.30
  6. Step 6: Final answer
    x = 117,812.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.