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Finding the Fourth Proportional to 162,158.94, 243,226.41 and 56,978.94

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Solution

The fourth proportional to 162,158.94, 243,226.41 and 56,978.94 is: 85,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,158.94 : 243,226.41 = 56,978.94 : x
  2. Step 2: Convert to fraction form
    162,158.94/243,226.41 = 56,978.94/x
  3. Step 3: Cross multiply
    162,158.94x = 243,226.41 × 56,978.94
  4. Step 4: Simplify right side
    162,158.94x = 13,858,783,021.81
  5. Step 5: Solve for x
    x = 13,858,783,021.81/162,158.94
  6. Step 6: Final answer
    x = 85,464.19

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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.