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Finding the Fourth Proportional to 140,202, 193,478.94 and 89,901

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Solution

The fourth proportional to 140,202, 193,478.94 and 89,901 is: 124,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202 : 193,478.94 = 89,901 : x
  2. Step 2: Convert to fraction form
    140,202/193,478.94 = 89,901/x
  3. Step 3: Cross multiply
    140,202x = 193,478.94 × 89,901
  4. Step 4: Simplify right side
    140,202x = 17,393,950,184.94
  5. Step 5: Solve for x
    x = 17,393,950,184.94/140,202
  6. Step 6: Final answer
    x = 124,063.50

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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.