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Finding the Fourth Proportional to 46,879, 70,318.50 and 14,047

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Solution

The fourth proportional to 46,879, 70,318.50 and 14,047 is: 21,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,879 : 70,318.50 = 14,047 : x
  2. Step 2: Convert to fraction form
    46,879/70,318.50 = 14,047/x
  3. Step 3: Cross multiply
    46,879x = 70,318.50 × 14,047
  4. Step 4: Simplify right side
    46,879x = 987,763,969.50
  5. Step 5: Solve for x
    x = 987,763,969.50/46,879
  6. Step 6: Final answer
    x = 21,070.50

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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.