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Finding the Fourth Proportional to 163,958.10, 245,827.80 and 75,165.90

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Solution

The fourth proportional to 163,958.10, 245,827.80 and 75,165.90 is: 112,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,958.10 : 245,827.80 = 75,165.90 : x
  2. Step 2: Convert to fraction form
    163,958.10/245,827.80 = 75,165.90/x
  3. Step 3: Cross multiply
    163,958.10x = 245,827.80 × 75,165.90
  4. Step 4: Simplify right side
    163,958.10x = 18,477,867,832.02
  5. Step 5: Solve for x
    x = 18,477,867,832.02/163,958.10
  6. Step 6: Final answer
    x = 112,698.72

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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.