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Finding the Fourth Proportional to 255,176.79, 382,820.54 and 77,679.20

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Solution

The fourth proportional to 255,176.79, 382,820.54 and 77,679.20 is: 116,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,176.79 : 382,820.54 = 77,679.20 : x
  2. Step 2: Convert to fraction form
    255,176.79/382,820.54 = 77,679.20/x
  3. Step 3: Cross multiply
    255,176.79x = 382,820.54 × 77,679.20
  4. Step 4: Simplify right side
    255,176.79x = 29,737,190,988.27
  5. Step 5: Solve for x
    x = 29,737,190,988.27/255,176.79
  6. Step 6: Final answer
    x = 116,535.64

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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.