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Finding the Fourth Proportional to 255,904.92, 383,902.55 and 87,385.76

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Solution

The fourth proportional to 255,904.92, 383,902.55 and 87,385.76 is: 131,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.92 : 383,902.55 = 87,385.76 : x
  2. Step 2: Convert to fraction form
    255,904.92/383,902.55 = 87,385.76/x
  3. Step 3: Cross multiply
    255,904.92x = 383,902.55 × 87,385.76
  4. Step 4: Simplify right side
    255,904.92x = 33,547,615,508.58
  5. Step 5: Solve for x
    x = 33,547,615,508.58/255,904.92
  6. Step 6: Final answer
    x = 131,094.06

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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.