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Finding the Fourth Proportional to 156,441.84, 234,639 and 51,258.48

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Solution

The fourth proportional to 156,441.84, 234,639 and 51,258.48 is: 76,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,441.84 : 234,639 = 51,258.48 : x
  2. Step 2: Convert to fraction form
    156,441.84/234,639 = 51,258.48/x
  3. Step 3: Cross multiply
    156,441.84x = 234,639 × 51,258.48
  4. Step 4: Simplify right side
    156,441.84x = 12,027,238,488.72
  5. Step 5: Solve for x
    x = 12,027,238,488.72/156,441.84
  6. Step 6: Final answer
    x = 76,879.93

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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.