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Finding the Fourth Proportional to 162,063.96, 223,642.40 and 89,465.30

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Solution

The fourth proportional to 162,063.96, 223,642.40 and 89,465.30 is: 123,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,063.96 : 223,642.40 = 89,465.30 : x
  2. Step 2: Convert to fraction form
    162,063.96/223,642.40 = 89,465.30/x
  3. Step 3: Cross multiply
    162,063.96x = 223,642.40 × 89,465.30
  4. Step 4: Simplify right side
    162,063.96x = 20,008,232,843.18
  5. Step 5: Solve for x
    x = 20,008,232,843.18/162,063.96
  6. Step 6: Final answer
    x = 123,458.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.