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Finding the Fourth Proportional to 65,047.19, 97,543.20 and 20,662.07

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Solution

The fourth proportional to 65,047.19, 97,543.20 and 20,662.07 is: 30,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047.19 : 97,543.20 = 20,662.07 : x
  2. Step 2: Convert to fraction form
    65,047.19/97,543.20 = 20,662.07/x
  3. Step 3: Cross multiply
    65,047.19x = 97,543.20 × 20,662.07
  4. Step 4: Simplify right side
    65,047.19x = 2,015,444,426.42
  5. Step 5: Solve for x
    x = 2,015,444,426.42/65,047.19
  6. Step 6: Final answer
    x = 30,984.34

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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.