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Finding the Fourth Proportional to 163,783.64, 245,318.88 and 100,412.12

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Solution

The fourth proportional to 163,783.64, 245,318.88 and 100,412.12 is: 150,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,783.64 : 245,318.88 = 100,412.12 : x
  2. Step 2: Convert to fraction form
    163,783.64/245,318.88 = 100,412.12/x
  3. Step 3: Cross multiply
    163,783.64x = 245,318.88 × 100,412.12
  4. Step 4: Simplify right side
    163,783.64x = 24,632,988,816.83
  5. Step 5: Solve for x
    x = 24,632,988,816.83/163,783.64
  6. Step 6: Final answer
    x = 150,399.57

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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.