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Finding the Fourth Proportional to 140,530.40, 210,358.20 and 81,189.80

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Solution

The fourth proportional to 140,530.40, 210,358.20 and 81,189.80 is: 121,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,530.40 : 210,358.20 = 81,189.80 : x
  2. Step 2: Convert to fraction form
    140,530.40/210,358.20 = 81,189.80/x
  3. Step 3: Cross multiply
    140,530.40x = 210,358.20 × 81,189.80
  4. Step 4: Simplify right side
    140,530.40x = 17,078,940,186.36
  5. Step 5: Solve for x
    x = 17,078,940,186.36/140,530.40
  6. Step 6: Final answer
    x = 121,532.00

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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.