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Finding the Fourth Proportional to 162,514.20, 243,674.10 and 83,782.20

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Solution

The fourth proportional to 162,514.20, 243,674.10 and 83,782.20 is: 125,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,514.20 : 243,674.10 = 83,782.20 : x
  2. Step 2: Convert to fraction form
    162,514.20/243,674.10 = 83,782.20/x
  3. Step 3: Cross multiply
    162,514.20x = 243,674.10 × 83,782.20
  4. Step 4: Simplify right side
    162,514.20x = 20,415,552,181.02
  5. Step 5: Solve for x
    x = 20,415,552,181.02/162,514.20
  6. Step 6: Final answer
    x = 125,623.19

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1.5x scale

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.