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Finding the Fourth Proportional to 46,980.52, 70,470.63 and 11,920.09

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Solution

The fourth proportional to 46,980.52, 70,470.63 and 11,920.09 is: 17,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980.52 : 70,470.63 = 11,920.09 : x
  2. Step 2: Convert to fraction form
    46,980.52/70,470.63 = 11,920.09/x
  3. Step 3: Cross multiply
    46,980.52x = 70,470.63 × 11,920.09
  4. Step 4: Simplify right side
    46,980.52x = 840,016,251.96
  5. Step 5: Solve for x
    x = 840,016,251.96/46,980.52
  6. Step 6: Final answer
    x = 17,880.10

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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.