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Finding the Fourth Proportional to 46,741, 70,111.50 and 13,909

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Solution

The fourth proportional to 46,741, 70,111.50 and 13,909 is: 20,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,741 : 70,111.50 = 13,909 : x
  2. Step 2: Convert to fraction form
    46,741/70,111.50 = 13,909/x
  3. Step 3: Cross multiply
    46,741x = 70,111.50 × 13,909
  4. Step 4: Simplify right side
    46,741x = 975,180,853.50
  5. Step 5: Solve for x
    x = 975,180,853.50/46,741
  6. Step 6: Final answer
    x = 20,863.50

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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.