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Finding the Fourth Proportional to 231,670.16, 319,711.56 and 131,066

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Solution

The fourth proportional to 231,670.16, 319,711.56 and 131,066 is: 180,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,670.16 : 319,711.56 = 131,066 : x
  2. Step 2: Convert to fraction form
    231,670.16/319,711.56 = 131,066/x
  3. Step 3: Cross multiply
    231,670.16x = 319,711.56 × 131,066
  4. Step 4: Simplify right side
    231,670.16x = 41,903,315,322.96
  5. Step 5: Solve for x
    x = 41,903,315,322.96/231,670.16
  6. Step 6: Final answer
    x = 180,874.89

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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.