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Finding the Fourth Proportional to 65,222.80, 97,720.80 and 30,090.40

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Solution

The fourth proportional to 65,222.80, 97,720.80 and 30,090.40 is: 45,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.80 : 97,720.80 = 30,090.40 : x
  2. Step 2: Convert to fraction form
    65,222.80/97,720.80 = 30,090.40/x
  3. Step 3: Cross multiply
    65,222.80x = 97,720.80 × 30,090.40
  4. Step 4: Simplify right side
    65,222.80x = 2,940,457,960.32
  5. Step 5: Solve for x
    x = 2,940,457,960.32/65,222.80
  6. Step 6: Final answer
    x = 45,083.28

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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.