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Finding the Fourth Proportional to 253,641.86, 380,450.96 and 103,845.12

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Solution

The fourth proportional to 253,641.86, 380,450.96 and 103,845.12 is: 155,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,641.86 : 380,450.96 = 103,845.12 : x
  2. Step 2: Convert to fraction form
    253,641.86/380,450.96 = 103,845.12/x
  3. Step 3: Cross multiply
    253,641.86x = 380,450.96 × 103,845.12
  4. Step 4: Simplify right side
    253,641.86x = 39,507,975,595.32
  5. Step 5: Solve for x
    x = 39,507,975,595.32/253,641.86
  6. Step 6: Final answer
    x = 155,762.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.