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Finding the Fourth Proportional to 152,033.34, 209,811.92 and 100,958

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Solution

The fourth proportional to 152,033.34, 209,811.92 and 100,958 is: 139,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,033.34 : 209,811.92 = 100,958 : x
  2. Step 2: Convert to fraction form
    152,033.34/209,811.92 = 100,958/x
  3. Step 3: Cross multiply
    152,033.34x = 209,811.92 × 100,958
  4. Step 4: Simplify right side
    152,033.34x = 21,182,191,819.36
  5. Step 5: Solve for x
    x = 21,182,191,819.36/152,033.34
  6. Step 6: Final answer
    x = 139,325.97

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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.