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Finding the Fourth Proportional to 75,570, 103,623.42 and 73,601.70

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Solution

The fourth proportional to 75,570, 103,623.42 and 73,601.70 is: 100,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570 : 103,623.42 = 73,601.70 : x
  2. Step 2: Convert to fraction form
    75,570/103,623.42 = 73,601.70/x
  3. Step 3: Cross multiply
    75,570x = 103,623.42 × 73,601.70
  4. Step 4: Simplify right side
    75,570x = 7,626,859,871.81
  5. Step 5: Solve for x
    x = 7,626,859,871.81/75,570
  6. Step 6: Final answer
    x = 100,924.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.