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Finding the Fourth Proportional to 74,503.75, 102,815.18 and 40,969.75

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Solution

The fourth proportional to 74,503.75, 102,815.18 and 40,969.75 is: 56,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,503.75 : 102,815.18 = 40,969.75 : x
  2. Step 2: Convert to fraction form
    74,503.75/102,815.18 = 40,969.75/x
  3. Step 3: Cross multiply
    74,503.75x = 102,815.18 × 40,969.75
  4. Step 4: Simplify right side
    74,503.75x = 4,212,312,220.81
  5. Step 5: Solve for x
    x = 4,212,312,220.81/74,503.75
  6. Step 6: Final answer
    x = 56,538.26

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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.