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Finding the Fourth Proportional to 140,383.10, 210,596.54 and 84,210.01

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Solution

The fourth proportional to 140,383.10, 210,596.54 and 84,210.01 is: 126,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,383.10 : 210,596.54 = 84,210.01 : x
  2. Step 2: Convert to fraction form
    140,383.10/210,596.54 = 84,210.01/x
  3. Step 3: Cross multiply
    140,383.10x = 210,596.54 × 84,210.01
  4. Step 4: Simplify right side
    140,383.10x = 17,734,335,791.82
  5. Step 5: Solve for x
    x = 17,734,335,791.82/140,383.10
  6. Step 6: Final answer
    x = 126,328.14

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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.