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Finding the Fourth Proportional to 146,123.60, 219,415.80 and 83,915.60

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Solution

The fourth proportional to 146,123.60, 219,415.80 and 83,915.60 is: 126,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,123.60 : 219,415.80 = 83,915.60 : x
  2. Step 2: Convert to fraction form
    146,123.60/219,415.80 = 83,915.60/x
  3. Step 3: Cross multiply
    146,123.60x = 219,415.80 × 83,915.60
  4. Step 4: Simplify right side
    146,123.60x = 18,412,408,506.48
  5. Step 5: Solve for x
    x = 18,412,408,506.48/146,123.60
  6. Step 6: Final answer
    x = 126,005.71

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1.5x scale

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.