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Finding the Fourth Proportional to 101,438.40, 152,157.60 and 76,652.40

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Solution

The fourth proportional to 101,438.40, 152,157.60 and 76,652.40 is: 114,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.40 : 152,157.60 = 76,652.40 : x
  2. Step 2: Convert to fraction form
    101,438.40/152,157.60 = 76,652.40/x
  3. Step 3: Cross multiply
    101,438.40x = 152,157.60 × 76,652.40
  4. Step 4: Simplify right side
    101,438.40x = 11,663,245,218.24
  5. Step 5: Solve for x
    x = 11,663,245,218.24/101,438.40
  6. Step 6: Final answer
    x = 114,978.60

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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.