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Finding the Fourth Proportional to 73,177.50, 100,984.98 and 39,643.50

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Solution

The fourth proportional to 73,177.50, 100,984.98 and 39,643.50 is: 54,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177.50 : 100,984.98 = 39,643.50 : x
  2. Step 2: Convert to fraction form
    73,177.50/100,984.98 = 39,643.50/x
  3. Step 3: Cross multiply
    73,177.50x = 100,984.98 × 39,643.50
  4. Step 4: Simplify right side
    73,177.50x = 4,003,398,054.63
  5. Step 5: Solve for x
    x = 4,003,398,054.63/73,177.50
  6. Step 6: Final answer
    x = 54,708.05

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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.