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Finding the Fourth Proportional to 122,921.80, 184,253.10 and 70,217.80

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Solution

The fourth proportional to 122,921.80, 184,253.10 and 70,217.80 is: 105,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,921.80 : 184,253.10 = 70,217.80 : x
  2. Step 2: Convert to fraction form
    122,921.80/184,253.10 = 70,217.80/x
  3. Step 3: Cross multiply
    122,921.80x = 184,253.10 × 70,217.80
  4. Step 4: Simplify right side
    122,921.80x = 12,937,847,325.18
  5. Step 5: Solve for x
    x = 12,937,847,325.18/122,921.80
  6. Step 6: Final answer
    x = 105,252.67

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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.