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Finding the Fourth Proportional to 162,151.56, 243,271.92 and 77,982.13

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Solution

The fourth proportional to 162,151.56, 243,271.92 and 77,982.13 is: 116,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,151.56 : 243,271.92 = 77,982.13 : x
  2. Step 2: Convert to fraction form
    162,151.56/243,271.92 = 77,982.13/x
  3. Step 3: Cross multiply
    162,151.56x = 243,271.92 × 77,982.13
  4. Step 4: Simplify right side
    162,151.56x = 18,970,861,274.43
  5. Step 5: Solve for x
    x = 18,970,861,274.43/162,151.56
  6. Step 6: Final answer
    x = 116,994.63

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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.