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Finding the Fourth Proportional to 70,409.30, 105,419.55 and 54,857.30

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Solution

The fourth proportional to 70,409.30, 105,419.55 and 54,857.30 is: 82,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.30 : 105,419.55 = 54,857.30 : x
  2. Step 2: Convert to fraction form
    70,409.30/105,419.55 = 54,857.30/x
  3. Step 3: Cross multiply
    70,409.30x = 105,419.55 × 54,857.30
  4. Step 4: Simplify right side
    70,409.30x = 5,783,031,880.22
  5. Step 5: Solve for x
    x = 5,783,031,880.22/70,409.30
  6. Step 6: Final answer
    x = 82,134.49

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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.