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Finding the Fourth Proportional to 149,053.77, 205,688.25 and 81,070.79

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Solution

The fourth proportional to 149,053.77, 205,688.25 and 81,070.79 is: 111,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,053.77 : 205,688.25 = 81,070.79 : x
  2. Step 2: Convert to fraction form
    149,053.77/205,688.25 = 81,070.79/x
  3. Step 3: Cross multiply
    149,053.77x = 205,688.25 × 81,070.79
  4. Step 4: Simplify right side
    149,053.77x = 16,675,309,566.79
  5. Step 5: Solve for x
    x = 16,675,309,566.79/149,053.77
  6. Step 6: Final answer
    x = 111,874.45

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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.