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Finding the Fourth Proportional to 47,758.55, 65,860.70 and 31,618.49

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Solution

The fourth proportional to 47,758.55, 65,860.70 and 31,618.49 is: 43,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758.55 : 65,860.70 = 31,618.49 : x
  2. Step 2: Convert to fraction form
    47,758.55/65,860.70 = 31,618.49/x
  3. Step 3: Cross multiply
    47,758.55x = 65,860.70 × 31,618.49
  4. Step 4: Simplify right side
    47,758.55x = 2,082,415,396.95
  5. Step 5: Solve for x
    x = 2,082,415,396.95/47,758.55
  6. Step 6: Final answer
    x = 43,602.99

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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.