Home / 102,193.14-153,314.32-32,072.42

Finding the Fourth Proportional to 102,193.14, 153,314.32 and 32,072.42

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Solution

The fourth proportional to 102,193.14, 153,314.32 and 32,072.42 is: 48,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,193.14 : 153,314.32 = 32,072.42 : x
  2. Step 2: Convert to fraction form
    102,193.14/153,314.32 = 32,072.42/x
  3. Step 3: Cross multiply
    102,193.14x = 153,314.32 × 32,072.42
  4. Step 4: Simplify right side
    102,193.14x = 4,917,161,263.05
  5. Step 5: Solve for x
    x = 4,917,161,263.05/102,193.14
  6. Step 6: Final answer
    x = 48,116.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.