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Finding the Fourth Proportional to 255,901.56, 383,920.40 and 87,421.62

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Solution

The fourth proportional to 255,901.56, 383,920.40 and 87,421.62 is: 131,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.56 : 383,920.40 = 87,421.62 : x
  2. Step 2: Convert to fraction form
    255,901.56/383,920.40 = 87,421.62/x
  3. Step 3: Cross multiply
    255,901.56x = 383,920.40 × 87,421.62
  4. Step 4: Simplify right side
    255,901.56x = 33,562,942,881.94
  5. Step 5: Solve for x
    x = 33,562,942,881.94/255,901.56
  6. Step 6: Final answer
    x = 131,155.68

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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.