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Finding the Fourth Proportional to 65,509.00, 98,263.43 and 20,530.67

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Solution

The fourth proportional to 65,509.00, 98,263.43 and 20,530.67 is: 30,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.00 : 98,263.43 = 20,530.67 : x
  2. Step 2: Convert to fraction form
    65,509.00/98,263.43 = 20,530.67/x
  3. Step 3: Cross multiply
    65,509.00x = 98,263.43 × 20,530.67
  4. Step 4: Simplify right side
    65,509.00x = 2,017,413,537.42
  5. Step 5: Solve for x
    x = 2,017,413,537.42/65,509.00
  6. Step 6: Final answer
    x = 30,795.97

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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.