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Finding the Fourth Proportional to 64,964.70, 97,447.05 and 31,706.10

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Solution

The fourth proportional to 64,964.70, 97,447.05 and 31,706.10 is: 47,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964.70 : 97,447.05 = 31,706.10 : x
  2. Step 2: Convert to fraction form
    64,964.70/97,447.05 = 31,706.10/x
  3. Step 3: Cross multiply
    64,964.70x = 97,447.05 × 31,706.10
  4. Step 4: Simplify right side
    64,964.70x = 3,089,665,912.01
  5. Step 5: Solve for x
    x = 3,089,665,912.01/64,964.70
  6. Step 6: Final answer
    x = 47,559.15

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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.