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Finding the Fourth Proportional to 255,809.76, 383,749.68 and 87,284.88

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Solution

The fourth proportional to 255,809.76, 383,749.68 and 87,284.88 is: 130,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.76 : 383,749.68 = 87,284.88 : x
  2. Step 2: Convert to fraction form
    255,809.76/383,749.68 = 87,284.88/x
  3. Step 3: Cross multiply
    255,809.76x = 383,749.68 × 87,284.88
  4. Step 4: Simplify right side
    255,809.76x = 33,495,544,768.84
  5. Step 5: Solve for x
    x = 33,495,544,768.84/255,809.76
  6. Step 6: Final answer
    x = 130,939.28

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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.