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Finding the Fourth Proportional to 152,206.92, 209,953.71 and 100,524.33

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Solution

The fourth proportional to 152,206.92, 209,953.71 and 100,524.33 is: 138,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,206.92 : 209,953.71 = 100,524.33 : x
  2. Step 2: Convert to fraction form
    152,206.92/209,953.71 = 100,524.33/x
  3. Step 3: Cross multiply
    152,206.92x = 209,953.71 × 100,524.33
  4. Step 4: Simplify right side
    152,206.92x = 21,105,456,028.76
  5. Step 5: Solve for x
    x = 21,105,456,028.76/152,206.92
  6. Step 6: Final answer
    x = 138,662.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.