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Finding the Fourth Proportional to 47,654.22, 65,754 and 30,877.50

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Solution

The fourth proportional to 47,654.22, 65,754 and 30,877.50 is: 42,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.22 : 65,754 = 30,877.50 : x
  2. Step 2: Convert to fraction form
    47,654.22/65,754 = 30,877.50/x
  3. Step 3: Cross multiply
    47,654.22x = 65,754 × 30,877.50
  4. Step 4: Simplify right side
    47,654.22x = 2,030,319,135
  5. Step 5: Solve for x
    x = 2,030,319,135/47,654.22
  6. Step 6: Final answer
    x = 42,605.23

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Why These Related Problems?

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