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Finding the Fourth Proportional to 162,689.30, 243,976.77 and 48,803.15

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Solution

The fourth proportional to 162,689.30, 243,976.77 and 48,803.15 is: 73,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,689.30 : 243,976.77 = 48,803.15 : x
  2. Step 2: Convert to fraction form
    162,689.30/243,976.77 = 48,803.15/x
  3. Step 3: Cross multiply
    162,689.30x = 243,976.77 × 48,803.15
  4. Step 4: Simplify right side
    162,689.30x = 11,906,833,682.94
  5. Step 5: Solve for x
    x = 11,906,833,682.94/162,689.30
  6. Step 6: Final answer
    x = 73,187.57

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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.