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Finding the Fourth Proportional to 106,091.66, 146,403.57 and 58,345

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Solution

The fourth proportional to 106,091.66, 146,403.57 and 58,345 is: 80,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,091.66 : 146,403.57 = 58,345 : x
  2. Step 2: Convert to fraction form
    106,091.66/146,403.57 = 58,345/x
  3. Step 3: Cross multiply
    106,091.66x = 146,403.57 × 58,345
  4. Step 4: Simplify right side
    106,091.66x = 8,541,915,999.93
  5. Step 5: Solve for x
    x = 8,541,915,999.93/106,091.66
  6. Step 6: Final answer
    x = 80,514.49

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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.