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Finding the Fourth Proportional to 64,823, 97,234.50 and 21,047

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Solution

The fourth proportional to 64,823, 97,234.50 and 21,047 is: 31,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823 : 97,234.50 = 21,047 : x
  2. Step 2: Convert to fraction form
    64,823/97,234.50 = 21,047/x
  3. Step 3: Cross multiply
    64,823x = 97,234.50 × 21,047
  4. Step 4: Simplify right side
    64,823x = 2,046,494,521.50
  5. Step 5: Solve for x
    x = 2,046,494,521.50/64,823
  6. Step 6: Final answer
    x = 31,570.50

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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.