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Finding the Fourth Proportional to 170,096.40, 255,144.72 and 76,492.80

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Solution

The fourth proportional to 170,096.40, 255,144.72 and 76,492.80 is: 114,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,096.40 : 255,144.72 = 76,492.80 : x
  2. Step 2: Convert to fraction form
    170,096.40/255,144.72 = 76,492.80/x
  3. Step 3: Cross multiply
    170,096.40x = 255,144.72 × 76,492.80
  4. Step 4: Simplify right side
    170,096.40x = 19,516,734,038.02
  5. Step 5: Solve for x
    x = 19,516,734,038.02/170,096.40
  6. Step 6: Final answer
    x = 114,739.25

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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.