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Finding the Fourth Proportional to 145,648.74, 218,500.68 and 56,896.64

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Solution

The fourth proportional to 145,648.74, 218,500.68 and 56,896.64 is: 85,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,648.74 : 218,500.68 = 56,896.64 : x
  2. Step 2: Convert to fraction form
    145,648.74/218,500.68 = 56,896.64/x
  3. Step 3: Cross multiply
    145,648.74x = 218,500.68 × 56,896.64
  4. Step 4: Simplify right side
    145,648.74x = 12,431,954,529.72
  5. Step 5: Solve for x
    x = 12,431,954,529.72/145,648.74
  6. Step 6: Final answer
    x = 85,355.73

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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.