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Finding the Fourth Proportional to 255,904.34, 383,905.71 and 98,120.48

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Solution

The fourth proportional to 255,904.34, 383,905.71 and 98,120.48 is: 147,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.34 : 383,905.71 = 98,120.48 : x
  2. Step 2: Convert to fraction form
    255,904.34/383,905.71 = 98,120.48/x
  3. Step 3: Cross multiply
    255,904.34x = 383,905.71 × 98,120.48
  4. Step 4: Simplify right side
    255,904.34x = 37,669,010,620.41
  5. Step 5: Solve for x
    x = 37,669,010,620.41/255,904.34
  6. Step 6: Final answer
    x = 147,199.58

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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.