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Finding the Fourth Proportional to 140,389.77, 210,606.54 and 84,216.69

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Solution

The fourth proportional to 140,389.77, 210,606.54 and 84,216.69 is: 126,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,389.77 : 210,606.54 = 84,216.69 : x
  2. Step 2: Convert to fraction form
    140,389.77/210,606.54 = 84,216.69/x
  3. Step 3: Cross multiply
    140,389.77x = 210,606.54 × 84,216.69
  4. Step 4: Simplify right side
    140,389.77x = 17,736,585,691.15
  5. Step 5: Solve for x
    x = 17,736,585,691.15/140,389.77
  6. Step 6: Final answer
    x = 126,338.16

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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.