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Finding the Fourth Proportional to 223,948.91, 309,055.35 and 121,978.24

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Solution

The fourth proportional to 223,948.91, 309,055.35 and 121,978.24 is: 168,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,948.91 : 309,055.35 = 121,978.24 : x
  2. Step 2: Convert to fraction form
    223,948.91/309,055.35 = 121,978.24/x
  3. Step 3: Cross multiply
    223,948.91x = 309,055.35 × 121,978.24
  4. Step 4: Simplify right side
    223,948.91x = 37,698,027,340.36
  5. Step 5: Solve for x
    x = 37,698,027,340.36/223,948.91
  6. Step 6: Final answer
    x = 168,333.16

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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.