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Finding the Fourth Proportional to 149,051.52, 205,690.95 and 85,389.57

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Solution

The fourth proportional to 149,051.52, 205,690.95 and 85,389.57 is: 117,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,051.52 : 205,690.95 = 85,389.57 : x
  2. Step 2: Convert to fraction form
    149,051.52/205,690.95 = 85,389.57/x
  3. Step 3: Cross multiply
    149,051.52x = 205,690.95 × 85,389.57
  4. Step 4: Simplify right side
    149,051.52x = 17,563,861,773.39
  5. Step 5: Solve for x
    x = 17,563,861,773.39/149,051.52
  6. Step 6: Final answer
    x = 117,837.52

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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.