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Finding the Fourth Proportional to 90,648.48, 135,958.64 and 46,308

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Solution

The fourth proportional to 90,648.48, 135,958.64 and 46,308 is: 69,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,648.48 : 135,958.64 = 46,308 : x
  2. Step 2: Convert to fraction form
    90,648.48/135,958.64 = 46,308/x
  3. Step 3: Cross multiply
    90,648.48x = 135,958.64 × 46,308
  4. Step 4: Simplify right side
    90,648.48x = 6,295,972,701.12
  5. Step 5: Solve for x
    x = 6,295,972,701.12/90,648.48
  6. Step 6: Final answer
    x = 69,454.81

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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.