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Finding the Fourth Proportional to 100,978.40, 151,483.60 and 34,424.80

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Solution

The fourth proportional to 100,978.40, 151,483.60 and 34,424.80 is: 51,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,978.40 : 151,483.60 = 34,424.80 : x
  2. Step 2: Convert to fraction form
    100,978.40/151,483.60 = 34,424.80/x
  3. Step 3: Cross multiply
    100,978.40x = 151,483.60 × 34,424.80
  4. Step 4: Simplify right side
    100,978.40x = 5,214,792,633.28
  5. Step 5: Solve for x
    x = 5,214,792,633.28/100,978.40
  6. Step 6: Final answer
    x = 51,642.65

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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.