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Finding the Fourth Proportional to 61,930.68, 85,464.50 and 36,438

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Solution

The fourth proportional to 61,930.68, 85,464.50 and 36,438 is: 50,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,930.68 : 85,464.50 = 36,438 : x
  2. Step 2: Convert to fraction form
    61,930.68/85,464.50 = 36,438/x
  3. Step 3: Cross multiply
    61,930.68x = 85,464.50 × 36,438
  4. Step 4: Simplify right side
    61,930.68x = 3,114,155,268.81
  5. Step 5: Solve for x
    x = 3,114,155,268.81/61,930.68
  6. Step 6: Final answer
    x = 50,284.53

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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.