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Finding the Fourth Proportional to 140,896.48, 211,368.48 and 47,380

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Solution

The fourth proportional to 140,896.48, 211,368.48 and 47,380 is: 71,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,896.48 : 211,368.48 = 47,380 : x
  2. Step 2: Convert to fraction form
    140,896.48/211,368.48 = 47,380/x
  3. Step 3: Cross multiply
    140,896.48x = 211,368.48 × 47,380
  4. Step 4: Simplify right side
    140,896.48x = 10,014,638,582.40
  5. Step 5: Solve for x
    x = 10,014,638,582.40/140,896.48
  6. Step 6: Final answer
    x = 71,077.99

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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.