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Finding the Fourth Proportional to 86,438, 119,284.44 and 46,694

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Solution

The fourth proportional to 86,438, 119,284.44 and 46,694 is: 64,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438 : 119,284.44 = 46,694 : x
  2. Step 2: Convert to fraction form
    86,438/119,284.44 = 46,694/x
  3. Step 3: Cross multiply
    86,438x = 119,284.44 × 46,694
  4. Step 4: Simplify right side
    86,438x = 5,569,867,641.36
  5. Step 5: Solve for x
    x = 5,569,867,641.36/86,438
  6. Step 6: Final answer
    x = 64,437.72

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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.