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Finding the Fourth Proportional to 62,157.60, 85,748.10 and 42,021.54

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Solution

The fourth proportional to 62,157.60, 85,748.10 and 42,021.54 is: 57,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,157.60 : 85,748.10 = 42,021.54 : x
  2. Step 2: Convert to fraction form
    62,157.60/85,748.10 = 42,021.54/x
  3. Step 3: Cross multiply
    62,157.60x = 85,748.10 × 42,021.54
  4. Step 4: Simplify right side
    62,157.60x = 3,603,267,214.07
  5. Step 5: Solve for x
    x = 3,603,267,214.07/62,157.60
  6. Step 6: Final answer
    x = 57,969.86

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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.