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Finding the Fourth Proportional to 152,729.28, 228,978.72 and 100,152

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Solution

The fourth proportional to 152,729.28, 228,978.72 and 100,152 is: 150,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,729.28 : 228,978.72 = 100,152 : x
  2. Step 2: Convert to fraction form
    152,729.28/228,978.72 = 100,152/x
  3. Step 3: Cross multiply
    152,729.28x = 228,978.72 × 100,152
  4. Step 4: Simplify right side
    152,729.28x = 22,932,676,765.44
  5. Step 5: Solve for x
    x = 22,932,676,765.44/152,729.28
  6. Step 6: Final answer
    x = 150,152.46

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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.