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Finding the Fourth Proportional to 149,174.61, 205,862.64 and 81,192.01

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Solution

The fourth proportional to 149,174.61, 205,862.64 and 81,192.01 is: 112,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,174.61 : 205,862.64 = 81,192.01 : x
  2. Step 2: Convert to fraction form
    149,174.61/205,862.64 = 81,192.01/x
  3. Step 3: Cross multiply
    149,174.61x = 205,862.64 × 81,192.01
  4. Step 4: Simplify right side
    149,174.61x = 16,714,401,119.55
  5. Step 5: Solve for x
    x = 16,714,401,119.55/149,174.61
  6. Step 6: Final answer
    x = 112,045.89

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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.