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Finding the Fourth Proportional to 223,019.83, 307,768.29 and 121,045.44

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Solution

The fourth proportional to 223,019.83, 307,768.29 and 121,045.44 is: 167,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,019.83 : 307,768.29 = 121,045.44 : x
  2. Step 2: Convert to fraction form
    223,019.83/307,768.29 = 121,045.44/x
  3. Step 3: Cross multiply
    223,019.83x = 307,768.29 × 121,045.44
  4. Step 4: Simplify right side
    223,019.83x = 37,253,946,088.34
  5. Step 5: Solve for x
    x = 37,253,946,088.34/223,019.83
  6. Step 6: Final answer
    x = 167,043.20

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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.