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Finding the Fourth Proportional to 149,242.96, 205,919.76 and 84,697.90

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Solution

The fourth proportional to 149,242.96, 205,919.76 and 84,697.90 is: 116,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,242.96 : 205,919.76 = 84,697.90 : x
  2. Step 2: Convert to fraction form
    149,242.96/205,919.76 = 84,697.90/x
  3. Step 3: Cross multiply
    149,242.96x = 205,919.76 × 84,697.90
  4. Step 4: Simplify right side
    149,242.96x = 17,440,971,240.50
  5. Step 5: Solve for x
    x = 17,440,971,240.50/149,242.96
  6. Step 6: Final answer
    x = 116,862.94

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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.