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Finding the Fourth Proportional to 223,893.61, 308,980.82 and 121,920.82

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Solution

The fourth proportional to 223,893.61, 308,980.82 and 121,920.82 is: 168,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,893.61 : 308,980.82 = 121,920.82 : x
  2. Step 2: Convert to fraction form
    223,893.61/308,980.82 = 121,920.82/x
  3. Step 3: Cross multiply
    223,893.61x = 308,980.82 × 121,920.82
  4. Step 4: Simplify right side
    223,893.61x = 37,671,194,938.67
  5. Step 5: Solve for x
    x = 37,671,194,938.67/223,893.61
  6. Step 6: Final answer
    x = 168,254.89

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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.