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Finding the Fourth Proportional to 102,989.16, 154,486.44 and 32,868.40

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Solution

The fourth proportional to 102,989.16, 154,486.44 and 32,868.40 is: 49,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,989.16 : 154,486.44 = 32,868.40 : x
  2. Step 2: Convert to fraction form
    102,989.16/154,486.44 = 32,868.40/x
  3. Step 3: Cross multiply
    102,989.16x = 154,486.44 × 32,868.40
  4. Step 4: Simplify right side
    102,989.16x = 5,077,722,104.50
  5. Step 5: Solve for x
    x = 5,077,722,104.50/102,989.16
  6. Step 6: Final answer
    x = 49,303.46

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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.