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Finding the Fourth Proportional to 210,105.60, 289,969.89 and 116,980.71

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Solution

The fourth proportional to 210,105.60, 289,969.89 and 116,980.71 is: 161,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105.60 : 289,969.89 = 116,980.71 : x
  2. Step 2: Convert to fraction form
    210,105.60/289,969.89 = 116,980.71/x
  3. Step 3: Cross multiply
    210,105.60x = 289,969.89 × 116,980.71
  4. Step 4: Simplify right side
    210,105.60x = 33,920,883,610.82
  5. Step 5: Solve for x
    x = 33,920,883,610.82/210,105.60
  6. Step 6: Final answer
    x = 161,446.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.