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Finding the Fourth Proportional to 151,830.40, 227,745.60 and 46,649.20

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Solution

The fourth proportional to 151,830.40, 227,745.60 and 46,649.20 is: 69,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,830.40 : 227,745.60 = 46,649.20 : x
  2. Step 2: Convert to fraction form
    151,830.40/227,745.60 = 46,649.20/x
  3. Step 3: Cross multiply
    151,830.40x = 227,745.60 × 46,649.20
  4. Step 4: Simplify right side
    151,830.40x = 10,624,150,043.52
  5. Step 5: Solve for x
    x = 10,624,150,043.52/151,830.40
  6. Step 6: Final answer
    x = 69,973.80

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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.