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Finding the Fourth Proportional to 189,072, 260,918.24 and 103,030.80

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Solution

The fourth proportional to 189,072, 260,918.24 and 103,030.80 is: 142,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,072 : 260,918.24 = 103,030.80 : x
  2. Step 2: Convert to fraction form
    189,072/260,918.24 = 103,030.80/x
  3. Step 3: Cross multiply
    189,072x = 260,918.24 × 103,030.80
  4. Step 4: Simplify right side
    189,072x = 26,882,615,001.79
  5. Step 5: Solve for x
    x = 26,882,615,001.79/189,072
  6. Step 6: Final answer
    x = 142,181.89

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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.