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Finding the Fourth Proportional to 223,713.24, 308,730.77 and 121,745.28

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Solution

The fourth proportional to 223,713.24, 308,730.77 and 121,745.28 is: 168,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.24 : 308,730.77 = 121,745.28 : x
  2. Step 2: Convert to fraction form
    223,713.24/308,730.77 = 121,745.28/x
  3. Step 3: Cross multiply
    223,713.24x = 308,730.77 × 121,745.28
  4. Step 4: Simplify right side
    223,713.24x = 37,586,513,307.21
  5. Step 5: Solve for x
    x = 37,586,513,307.21/223,713.24
  6. Step 6: Final answer
    x = 168,012.02

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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.