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Finding the Fourth Proportional to 255,809.40, 383,495.28 and 98,151

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Solution

The fourth proportional to 255,809.40, 383,495.28 and 98,151 is: 147,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.40 : 383,495.28 = 98,151 : x
  2. Step 2: Convert to fraction form
    255,809.40/383,495.28 = 98,151/x
  3. Step 3: Cross multiply
    255,809.40x = 383,495.28 × 98,151
  4. Step 4: Simplify right side
    255,809.40x = 37,640,445,227.28
  5. Step 5: Solve for x
    x = 37,640,445,227.28/255,809.40
  6. Step 6: Final answer
    x = 147,142.54

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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.