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Finding the Fourth Proportional to 47,182.56, 65,090.16 and 30,420.96

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Solution

The fourth proportional to 47,182.56, 65,090.16 and 30,420.96 is: 41,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182.56 : 65,090.16 = 30,420.96 : x
  2. Step 2: Convert to fraction form
    47,182.56/65,090.16 = 30,420.96/x
  3. Step 3: Cross multiply
    47,182.56x = 65,090.16 × 30,420.96
  4. Step 4: Simplify right side
    47,182.56x = 1,980,105,153.75
  5. Step 5: Solve for x
    x = 1,980,105,153.75/47,182.56
  6. Step 6: Final answer
    x = 41,966.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.