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Finding the Fourth Proportional to 106,077.48, 146,350.49 and 65,776.74

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Solution

The fourth proportional to 106,077.48, 146,350.49 and 65,776.74 is: 90,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,077.48 : 146,350.49 = 65,776.74 : x
  2. Step 2: Convert to fraction form
    106,077.48/146,350.49 = 65,776.74/x
  3. Step 3: Cross multiply
    106,077.48x = 146,350.49 × 65,776.74
  4. Step 4: Simplify right side
    106,077.48x = 9,626,458,129.60
  5. Step 5: Solve for x
    x = 9,626,458,129.60/106,077.48
  6. Step 6: Final answer
    x = 90,749.31

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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.