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Finding the Fourth Proportional to 225,140.74, 310,696.66 and 123,164

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Solution

The fourth proportional to 225,140.74, 310,696.66 and 123,164 is: 169,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,140.74 : 310,696.66 = 123,164 : x
  2. Step 2: Convert to fraction form
    225,140.74/310,696.66 = 123,164/x
  3. Step 3: Cross multiply
    225,140.74x = 310,696.66 × 123,164
  4. Step 4: Simplify right side
    225,140.74x = 38,266,643,432.24
  5. Step 5: Solve for x
    x = 38,266,643,432.24/225,140.74
  6. Step 6: Final answer
    x = 169,967.65

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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.