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Finding the Fourth Proportional to 152,311.78, 210,190.23 and 85,243.78

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Solution

The fourth proportional to 152,311.78, 210,190.23 and 85,243.78 is: 117,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,311.78 : 210,190.23 = 85,243.78 : x
  2. Step 2: Convert to fraction form
    152,311.78/210,190.23 = 85,243.78/x
  3. Step 3: Cross multiply
    152,311.78x = 210,190.23 × 85,243.78
  4. Step 4: Simplify right side
    152,311.78x = 17,917,409,724.27
  5. Step 5: Solve for x
    x = 17,917,409,724.27/152,311.78
  6. Step 6: Final answer
    x = 117,636.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.