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Finding the Fourth Proportional to 264,971, 365,665.74 and 145,739

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Solution

The fourth proportional to 264,971, 365,665.74 and 145,739 is: 201,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,971 : 365,665.74 = 145,739 : x
  2. Step 2: Convert to fraction form
    264,971/365,665.74 = 145,739/x
  3. Step 3: Cross multiply
    264,971x = 365,665.74 × 145,739
  4. Step 4: Simplify right side
    264,971x = 53,291,759,281.86
  5. Step 5: Solve for x
    x = 53,291,759,281.86/264,971
  6. Step 6: Final answer
    x = 201,122.99

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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.