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Finding the Fourth Proportional to 106,288.69, 146,678.54 and 57,890.81

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Solution

The fourth proportional to 106,288.69, 146,678.54 and 57,890.81 is: 79,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,288.69 : 146,678.54 = 57,890.81 : x
  2. Step 2: Convert to fraction form
    106,288.69/146,678.54 = 57,890.81/x
  3. Step 3: Cross multiply
    106,288.69x = 146,678.54 × 57,890.81
  4. Step 4: Simplify right side
    106,288.69x = 8,491,338,720.64
  5. Step 5: Solve for x
    x = 8,491,338,720.64/106,288.69
  6. Step 6: Final answer
    x = 79,889.39

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1.5x scale

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.