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Finding the Fourth Proportional to 255,840.64, 383,761.68 and 89,589.76

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Solution

The fourth proportional to 255,840.64, 383,761.68 and 89,589.76 is: 134,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,840.64 : 383,761.68 = 89,589.76 : x
  2. Step 2: Convert to fraction form
    255,840.64/383,761.68 = 89,589.76/x
  3. Step 3: Cross multiply
    255,840.64x = 383,761.68 × 89,589.76
  4. Step 4: Simplify right side
    255,840.64x = 34,381,116,808.40
  5. Step 5: Solve for x
    x = 34,381,116,808.40/255,840.64
  6. Step 6: Final answer
    x = 134,384.89

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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.