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Finding the Fourth Proportional to 61,842.28, 85,302 and 39,157.63

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Solution

The fourth proportional to 61,842.28, 85,302 and 39,157.63 is: 54,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.28 : 85,302 = 39,157.63 : x
  2. Step 2: Convert to fraction form
    61,842.28/85,302 = 39,157.63/x
  3. Step 3: Cross multiply
    61,842.28x = 85,302 × 39,157.63
  4. Step 4: Simplify right side
    61,842.28x = 3,340,224,154.26
  5. Step 5: Solve for x
    x = 3,340,224,154.26/61,842.28
  6. Step 6: Final answer
    x = 54,011.98

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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.