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Finding the Fourth Proportional to 145,211.92, 217,761.44 and 56,453.68

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Solution

The fourth proportional to 145,211.92, 217,761.44 and 56,453.68 is: 84,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,211.92 : 217,761.44 = 56,453.68 : x
  2. Step 2: Convert to fraction form
    145,211.92/217,761.44 = 56,453.68/x
  3. Step 3: Cross multiply
    145,211.92x = 217,761.44 × 56,453.68
  4. Step 4: Simplify right side
    145,211.92x = 12,293,434,650.10
  5. Step 5: Solve for x
    x = 12,293,434,650.10/145,211.92
  6. Step 6: Final answer
    x = 84,658.58

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1.5x scale

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.