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Finding the Fourth Proportional to 130,409.32, 195,496.62 and 47,245

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Solution

The fourth proportional to 130,409.32, 195,496.62 and 47,245 is: 70,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,409.32 : 195,496.62 = 47,245 : x
  2. Step 2: Convert to fraction form
    130,409.32/195,496.62 = 47,245/x
  3. Step 3: Cross multiply
    130,409.32x = 195,496.62 × 47,245
  4. Step 4: Simplify right side
    130,409.32x = 9,236,237,811.90
  5. Step 5: Solve for x
    x = 9,236,237,811.90/130,409.32
  6. Step 6: Final answer
    x = 70,824.98

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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.