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Finding the Fourth Proportional to 105,883.90, 146,188.16 and 65,640.67

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Solution

The fourth proportional to 105,883.90, 146,188.16 and 65,640.67 is: 90,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,883.90 : 146,188.16 = 65,640.67 : x
  2. Step 2: Convert to fraction form
    105,883.90/146,188.16 = 65,640.67/x
  3. Step 3: Cross multiply
    105,883.90x = 146,188.16 × 65,640.67
  4. Step 4: Simplify right side
    105,883.90x = 9,595,888,320.95
  5. Step 5: Solve for x
    x = 9,595,888,320.95/105,883.90
  6. Step 6: Final answer
    x = 90,626.51

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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.