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Finding the Fourth Proportional to 162,489, 243,756.81 and 50,178.81

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Solution

The fourth proportional to 162,489, 243,756.81 and 50,178.81 is: 75,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,489 : 243,756.81 = 50,178.81 : x
  2. Step 2: Convert to fraction form
    162,489/243,756.81 = 50,178.81/x
  3. Step 3: Cross multiply
    162,489x = 243,756.81 × 50,178.81
  4. Step 4: Simplify right side
    162,489x = 12,231,426,655.20
  5. Step 5: Solve for x
    x = 12,231,426,655.20/162,489
  6. Step 6: Final answer
    x = 75,275.41

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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.