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Finding the Fourth Proportional to 65,356.69, 98,047.80 and 20,980.03

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Solution

The fourth proportional to 65,356.69, 98,047.80 and 20,980.03 is: 31,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356.69 : 98,047.80 = 20,980.03 : x
  2. Step 2: Convert to fraction form
    65,356.69/98,047.80 = 20,980.03/x
  3. Step 3: Cross multiply
    65,356.69x = 98,047.80 × 20,980.03
  4. Step 4: Simplify right side
    65,356.69x = 2,057,045,785.43
  5. Step 5: Solve for x
    x = 2,057,045,785.43/65,356.69
  6. Step 6: Final answer
    x = 31,474.14

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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.