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Finding the Fourth Proportional to 149,186.34, 205,807.64 and 88,723.08

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Solution

The fourth proportional to 149,186.34, 205,807.64 and 88,723.08 is: 122,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,186.34 : 205,807.64 = 88,723.08 : x
  2. Step 2: Convert to fraction form
    149,186.34/205,807.64 = 88,723.08/x
  3. Step 3: Cross multiply
    149,186.34x = 205,807.64 × 88,723.08
  4. Step 4: Simplify right side
    149,186.34x = 18,259,887,264.72
  5. Step 5: Solve for x
    x = 18,259,887,264.72/149,186.34
  6. Step 6: Final answer
    x = 122,396.51

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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.