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Finding the Fourth Proportional to 74,605.68, 102,969.64 and 42,774.80

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Solution

The fourth proportional to 74,605.68, 102,969.64 and 42,774.80 is: 59,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,605.68 : 102,969.64 = 42,774.80 : x
  2. Step 2: Convert to fraction form
    74,605.68/102,969.64 = 42,774.80/x
  3. Step 3: Cross multiply
    74,605.68x = 102,969.64 × 42,774.80
  4. Step 4: Simplify right side
    74,605.68x = 4,404,505,757.07
  5. Step 5: Solve for x
    x = 4,404,505,757.07/74,605.68
  6. Step 6: Final answer
    x = 59,037.14

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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.