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Finding the Fourth Proportional to 210,004.09, 314,879.48 and 83,663.84

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Solution

The fourth proportional to 210,004.09, 314,879.48 and 83,663.84 is: 125,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,004.09 : 314,879.48 = 83,663.84 : x
  2. Step 2: Convert to fraction form
    210,004.09/314,879.48 = 83,663.84/x
  3. Step 3: Cross multiply
    210,004.09x = 314,879.48 × 83,663.84
  4. Step 4: Simplify right side
    210,004.09x = 26,344,025,110.12
  5. Step 5: Solve for x
    x = 26,344,025,110.12/210,004.09
  6. Step 6: Final answer
    x = 125,445.29

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1.5x scale

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.