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Finding the Fourth Proportional to 242,683.40, 364,025.10 and 154,109.90

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Solution

The fourth proportional to 242,683.40, 364,025.10 and 154,109.90 is: 231,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,683.40 : 364,025.10 = 154,109.90 : x
  2. Step 2: Convert to fraction form
    242,683.40/364,025.10 = 154,109.90/x
  3. Step 3: Cross multiply
    242,683.40x = 364,025.10 × 154,109.90
  4. Step 4: Simplify right side
    242,683.40x = 56,099,871,758.49
  5. Step 5: Solve for x
    x = 56,099,871,758.49/242,683.40
  6. Step 6: Final answer
    x = 231,164.85

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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.