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Finding the Fourth Proportional to 280,161.84, 420,174.72 and 93,149.04

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Solution

The fourth proportional to 280,161.84, 420,174.72 and 93,149.04 is: 139,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,161.84 : 420,174.72 = 93,149.04 : x
  2. Step 2: Convert to fraction form
    280,161.84/420,174.72 = 93,149.04/x
  3. Step 3: Cross multiply
    280,161.84x = 420,174.72 × 93,149.04
  4. Step 4: Simplify right side
    280,161.84x = 39,138,871,800.27
  5. Step 5: Solve for x
    x = 39,138,871,800.27/280,161.84
  6. Step 6: Final answer
    x = 139,700.94

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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.