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Finding the Fourth Proportional to 225,142.74, 310,699.42 and 123,166

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Solution

The fourth proportional to 225,142.74, 310,699.42 and 123,166 is: 169,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142.74 : 310,699.42 = 123,166 : x
  2. Step 2: Convert to fraction form
    225,142.74/310,699.42 = 123,166/x
  3. Step 3: Cross multiply
    225,142.74x = 310,699.42 × 123,166
  4. Step 4: Simplify right side
    225,142.74x = 38,267,604,763.72
  5. Step 5: Solve for x
    x = 38,267,604,763.72/225,142.74
  6. Step 6: Final answer
    x = 169,970.41

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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.