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Finding the Fourth Proportional to 65,438.16, 98,172.92 and 21,069.08

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Solution

The fourth proportional to 65,438.16, 98,172.92 and 21,069.08 is: 31,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,438.16 : 98,172.92 = 21,069.08 : x
  2. Step 2: Convert to fraction form
    65,438.16/98,172.92 = 21,069.08/x
  3. Step 3: Cross multiply
    65,438.16x = 98,172.92 × 21,069.08
  4. Step 4: Simplify right side
    65,438.16x = 2,068,413,105.31
  5. Step 5: Solve for x
    x = 2,068,413,105.31/65,438.16
  6. Step 6: Final answer
    x = 31,608.67

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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.