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Finding the Fourth Proportional to 265,137.75, 365,890.16 and 145,905.75

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Solution

The fourth proportional to 265,137.75, 365,890.16 and 145,905.75 is: 201,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,137.75 : 365,890.16 = 145,905.75 : x
  2. Step 2: Convert to fraction form
    265,137.75/365,890.16 = 145,905.75/x
  3. Step 3: Cross multiply
    265,137.75x = 365,890.16 × 145,905.75
  4. Step 4: Simplify right side
    265,137.75x = 53,385,477,482.89
  5. Step 5: Solve for x
    x = 53,385,477,482.89/265,137.75
  6. Step 6: Final answer
    x = 201,349.97

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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.