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Finding the Fourth Proportional to 231,783.84, 319,850.64 and 142,342.56

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Solution

The fourth proportional to 231,783.84, 319,850.64 and 142,342.56 is: 196,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,783.84 : 319,850.64 = 142,342.56 : x
  2. Step 2: Convert to fraction form
    231,783.84/319,850.64 = 142,342.56/x
  3. Step 3: Cross multiply
    231,783.84x = 319,850.64 × 142,342.56
  4. Step 4: Simplify right side
    231,783.84x = 45,528,358,915.24
  5. Step 5: Solve for x
    x = 45,528,358,915.24/231,783.84
  6. Step 6: Final answer
    x = 196,425.94

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1.5x scale

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.