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Finding the Fourth Proportional to 100,978.40, 151,467.60 and 34,412.60

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Solution

The fourth proportional to 100,978.40, 151,467.60 and 34,412.60 is: 51,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,978.40 : 151,467.60 = 34,412.60 : x
  2. Step 2: Convert to fraction form
    100,978.40/151,467.60 = 34,412.60/x
  3. Step 3: Cross multiply
    100,978.40x = 151,467.60 × 34,412.60
  4. Step 4: Simplify right side
    100,978.40x = 5,212,393,931.76
  5. Step 5: Solve for x
    x = 5,212,393,931.76/100,978.40
  6. Step 6: Final answer
    x = 51,618.90

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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.