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Finding the Fourth Proportional to 255,381.57, 383,094.38 and 65,840.33

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Solution

The fourth proportional to 255,381.57, 383,094.38 and 65,840.33 is: 98,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,381.57 : 383,094.38 = 65,840.33 : x
  2. Step 2: Convert to fraction form
    255,381.57/383,094.38 = 65,840.33/x
  3. Step 3: Cross multiply
    255,381.57x = 383,094.38 × 65,840.33
  4. Step 4: Simplify right side
    255,381.57x = 25,223,058,649.47
  5. Step 5: Solve for x
    x = 25,223,058,649.47/255,381.57
  6. Step 6: Final answer
    x = 98,766.17

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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.