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Finding the Fourth Proportional to 255,173.24, 382,801.06 and 77,638.44

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Solution

The fourth proportional to 255,173.24, 382,801.06 and 77,638.44 is: 116,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,173.24 : 382,801.06 = 77,638.44 : x
  2. Step 2: Convert to fraction form
    255,173.24/382,801.06 = 77,638.44/x
  3. Step 3: Cross multiply
    255,173.24x = 382,801.06 × 77,638.44
  4. Step 4: Simplify right side
    255,173.24x = 29,720,077,128.75
  5. Step 5: Solve for x
    x = 29,720,077,128.75/255,173.24
  6. Step 6: Final answer
    x = 116,470.20

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1.5x scale

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.