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Finding the Fourth Proportional to 106,330.32, 146,738.45 and 65,478.98

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Solution

The fourth proportional to 106,330.32, 146,738.45 and 65,478.98 is: 90,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,330.32 : 146,738.45 = 65,478.98 : x
  2. Step 2: Convert to fraction form
    106,330.32/146,738.45 = 65,478.98/x
  3. Step 3: Cross multiply
    106,330.32x = 146,738.45 × 65,478.98
  4. Step 4: Simplify right side
    106,330.32x = 9,608,284,563.32
  5. Step 5: Solve for x
    x = 9,608,284,563.32/106,330.32
  6. Step 6: Final answer
    x = 90,362.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.