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Finding the Fourth Proportional to 128,814.70, 193,132.05 and 76,197.10

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Solution

The fourth proportional to 128,814.70, 193,132.05 and 76,197.10 is: 114,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,814.70 : 193,132.05 = 76,197.10 : x
  2. Step 2: Convert to fraction form
    128,814.70/193,132.05 = 76,197.10/x
  3. Step 3: Cross multiply
    128,814.70x = 193,132.05 × 76,197.10
  4. Step 4: Simplify right side
    128,814.70x = 14,716,102,127.06
  5. Step 5: Solve for x
    x = 14,716,102,127.06/128,814.70
  6. Step 6: Final answer
    x = 114,242.41

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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.