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Finding the Fourth Proportional to 140,391.99, 210,686.40 and 81,146.16

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Solution

The fourth proportional to 140,391.99, 210,686.40 and 81,146.16 is: 121,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,391.99 : 210,686.40 = 81,146.16 : x
  2. Step 2: Convert to fraction form
    140,391.99/210,686.40 = 81,146.16/x
  3. Step 3: Cross multiply
    140,391.99x = 210,686.40 × 81,146.16
  4. Step 4: Simplify right side
    140,391.99x = 17,096,392,324.22
  5. Step 5: Solve for x
    x = 17,096,392,324.22/140,391.99
  6. Step 6: Final answer
    x = 121,776.12

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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.