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Finding the Fourth Proportional to 149,053.50, 205,697.07 and 81,985.50

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Solution

The fourth proportional to 149,053.50, 205,697.07 and 81,985.50 is: 113,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,053.50 : 205,697.07 = 81,985.50 : x
  2. Step 2: Convert to fraction form
    149,053.50/205,697.07 = 81,985.50/x
  3. Step 3: Cross multiply
    149,053.50x = 205,697.07 × 81,985.50
  4. Step 4: Simplify right side
    149,053.50x = 16,864,177,132.49
  5. Step 5: Solve for x
    x = 16,864,177,132.49/149,053.50
  6. Step 6: Final answer
    x = 113,141.77

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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.