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Finding the Fourth Proportional to 149,509.83, 224,264.73 and 102,620.55

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Solution

The fourth proportional to 149,509.83, 224,264.73 and 102,620.55 is: 153,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,509.83 : 224,264.73 = 102,620.55 : x
  2. Step 2: Convert to fraction form
    149,509.83/224,264.73 = 102,620.55/x
  3. Step 3: Cross multiply
    149,509.83x = 224,264.73 × 102,620.55
  4. Step 4: Simplify right side
    149,509.83x = 23,014,169,938.20
  5. Step 5: Solve for x
    x = 23,014,169,938.20/149,509.83
  6. Step 6: Final answer
    x = 153,930.81

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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.