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Finding the Fourth Proportional to 65,359.65, 98,030.19 and 20,980.65

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Solution

The fourth proportional to 65,359.65, 98,030.19 and 20,980.65 is: 31,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,359.65 : 98,030.19 = 20,980.65 : x
  2. Step 2: Convert to fraction form
    65,359.65/98,030.19 = 20,980.65/x
  3. Step 3: Cross multiply
    65,359.65x = 98,030.19 × 20,980.65
  4. Step 4: Simplify right side
    65,359.65x = 2,056,737,105.82
  5. Step 5: Solve for x
    x = 2,056,737,105.82/65,359.65
  6. Step 6: Final answer
    x = 31,467.99

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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.