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Finding the Fourth Proportional to 47,111.50, 70,699.65 and 19,409.50

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Solution

The fourth proportional to 47,111.50, 70,699.65 and 19,409.50 is: 29,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.50 : 70,699.65 = 19,409.50 : x
  2. Step 2: Convert to fraction form
    47,111.50/70,699.65 = 19,409.50/x
  3. Step 3: Cross multiply
    47,111.50x = 70,699.65 × 19,409.50
  4. Step 4: Simplify right side
    47,111.50x = 1,372,244,856.68
  5. Step 5: Solve for x
    x = 1,372,244,856.68/47,111.50
  6. Step 6: Final answer
    x = 29,127.60

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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.