Home / 102,096.24-153,144.32-31,981

Finding the Fourth Proportional to 102,096.24, 153,144.32 and 31,981

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Solution

The fourth proportional to 102,096.24, 153,144.32 and 31,981 is: 47,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.24 : 153,144.32 = 31,981 : x
  2. Step 2: Convert to fraction form
    102,096.24/153,144.32 = 31,981/x
  3. Step 3: Cross multiply
    102,096.24x = 153,144.32 × 31,981
  4. Step 4: Simplify right side
    102,096.24x = 4,897,708,497.92
  5. Step 5: Solve for x
    x = 4,897,708,497.92/102,096.24
  6. Step 6: Final answer
    x = 47,971.49

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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.