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Finding the Fourth Proportional to 119,488, 178,958.16 and 69,444.16

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Solution

The fourth proportional to 119,488, 178,958.16 and 69,444.16 is: 104,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,488 : 178,958.16 = 69,444.16 : x
  2. Step 2: Convert to fraction form
    119,488/178,958.16 = 69,444.16/x
  3. Step 3: Cross multiply
    119,488x = 178,958.16 × 69,444.16
  4. Step 4: Simplify right side
    119,488x = 12,427,599,096.35
  5. Step 5: Solve for x
    x = 12,427,599,096.35/119,488
  6. Step 6: Final answer
    x = 104,007.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.