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Finding the Fourth Proportional to 155,433.60, 232,761.60 and 148,435.20

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Solution

The fourth proportional to 155,433.60, 232,761.60 and 148,435.20 is: 222,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,433.60 : 232,761.60 = 148,435.20 : x
  2. Step 2: Convert to fraction form
    155,433.60/232,761.60 = 148,435.20/x
  3. Step 3: Cross multiply
    155,433.60x = 232,761.60 × 148,435.20
  4. Step 4: Simplify right side
    155,433.60x = 34,550,014,648.32
  5. Step 5: Solve for x
    x = 34,550,014,648.32/155,433.60
  6. Step 6: Final answer
    x = 222,281.51

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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.