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Finding the Fourth Proportional to 223,495.31, 308,423.54 and 122,893.31

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Solution

The fourth proportional to 223,495.31, 308,423.54 and 122,893.31 is: 169,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,495.31 : 308,423.54 = 122,893.31 : x
  2. Step 2: Convert to fraction form
    223,495.31/308,423.54 = 122,893.31/x
  3. Step 3: Cross multiply
    223,495.31x = 308,423.54 × 122,893.31
  4. Step 4: Simplify right side
    223,495.31x = 37,903,189,869.11
  5. Step 5: Solve for x
    x = 37,903,189,869.11/223,495.31
  6. Step 6: Final answer
    x = 169,592.77

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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.