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Finding the Fourth Proportional to 140,542.40, 210,800.64 and 47,048.96

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Solution

The fourth proportional to 140,542.40, 210,800.64 and 47,048.96 is: 70,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,542.40 : 210,800.64 = 47,048.96 : x
  2. Step 2: Convert to fraction form
    140,542.40/210,800.64 = 47,048.96/x
  3. Step 3: Cross multiply
    140,542.40x = 210,800.64 × 47,048.96
  4. Step 4: Simplify right side
    140,542.40x = 9,917,950,879.33
  5. Step 5: Solve for x
    x = 9,917,950,879.33/140,542.40
  6. Step 6: Final answer
    x = 70,569.10

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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.