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Finding the Fourth Proportional to 223,151.25, 307,948.74 and 122,549.25

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Solution

The fourth proportional to 223,151.25, 307,948.74 and 122,549.25 is: 169,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,151.25 : 307,948.74 = 122,549.25 : x
  2. Step 2: Convert to fraction form
    223,151.25/307,948.74 = 122,549.25/x
  3. Step 3: Cross multiply
    223,151.25x = 307,948.74 × 122,549.25
  4. Step 4: Simplify right side
    223,151.25x = 37,738,887,125.45
  5. Step 5: Solve for x
    x = 37,738,887,125.45/223,151.25
  6. Step 6: Final answer
    x = 169,117.97

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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.