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Finding the Fourth Proportional to 250,155.64, 345,211.36 and 136,978.40

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Solution

The fourth proportional to 250,155.64, 345,211.36 and 136,978.40 is: 189,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,155.64 : 345,211.36 = 136,978.40 : x
  2. Step 2: Convert to fraction form
    250,155.64/345,211.36 = 136,978.40/x
  3. Step 3: Cross multiply
    250,155.64x = 345,211.36 × 136,978.40
  4. Step 4: Simplify right side
    250,155.64x = 47,286,499,754.62
  5. Step 5: Solve for x
    x = 47,286,499,754.62/250,155.64
  6. Step 6: Final answer
    x = 189,028.32

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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.