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Finding the Fourth Proportional to 70,913.56, 106,388.70 and 31,461.16

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Solution

The fourth proportional to 70,913.56, 106,388.70 and 31,461.16 is: 47,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.56 : 106,388.70 = 31,461.16 : x
  2. Step 2: Convert to fraction form
    70,913.56/106,388.70 = 31,461.16/x
  3. Step 3: Cross multiply
    70,913.56x = 106,388.70 × 31,461.16
  4. Step 4: Simplify right side
    70,913.56x = 3,347,111,912.89
  5. Step 5: Solve for x
    x = 3,347,111,912.89/70,913.56
  6. Step 6: Final answer
    x = 47,199.89

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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.