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Finding the Fourth Proportional to 47,676.61, 71,538 and 19,617.40

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Solution

The fourth proportional to 47,676.61, 71,538 and 19,617.40 is: 29,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.61 : 71,538 = 19,617.40 : x
  2. Step 2: Convert to fraction form
    47,676.61/71,538 = 19,617.40/x
  3. Step 3: Cross multiply
    47,676.61x = 71,538 × 19,617.40
  4. Step 4: Simplify right side
    47,676.61x = 1,403,389,561.20
  5. Step 5: Solve for x
    x = 1,403,389,561.20/47,676.61
  6. Step 6: Final answer
    x = 29,435.60

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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.