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Finding the Fourth Proportional to 242,682.40, 364,023.60 and 154,108.90

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Solution

The fourth proportional to 242,682.40, 364,023.60 and 154,108.90 is: 231,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682.40 : 364,023.60 = 154,108.90 : x
  2. Step 2: Convert to fraction form
    242,682.40/364,023.60 = 154,108.90/x
  3. Step 3: Cross multiply
    242,682.40x = 364,023.60 × 154,108.90
  4. Step 4: Simplify right side
    242,682.40x = 56,099,276,570.04
  5. Step 5: Solve for x
    x = 56,099,276,570.04/242,682.40
  6. Step 6: Final answer
    x = 231,163.35

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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.