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Finding the Fourth Proportional to 70,307.64, 105,439.73 and 20,391.41

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Solution

The fourth proportional to 70,307.64, 105,439.73 and 20,391.41 is: 30,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,307.64 : 105,439.73 = 20,391.41 : x
  2. Step 2: Convert to fraction form
    70,307.64/105,439.73 = 20,391.41/x
  3. Step 3: Cross multiply
    70,307.64x = 105,439.73 × 20,391.41
  4. Step 4: Simplify right side
    70,307.64x = 2,150,064,552.10
  5. Step 5: Solve for x
    x = 2,150,064,552.10/70,307.64
  6. Step 6: Final answer
    x = 30,580.81

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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.