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Finding the Fourth Proportional to 255,809.90, 383,496.03 and 98,151.50

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Solution

The fourth proportional to 255,809.90, 383,496.03 and 98,151.50 is: 147,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.90 : 383,496.03 = 98,151.50 : x
  2. Step 2: Convert to fraction form
    255,809.90/383,496.03 = 98,151.50/x
  3. Step 3: Cross multiply
    255,809.90x = 383,496.03 × 98,151.50
  4. Step 4: Simplify right side
    255,809.90x = 37,640,710,588.55
  5. Step 5: Solve for x
    x = 37,640,710,588.55/255,809.90
  6. Step 6: Final answer
    x = 147,143.29

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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.