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Finding the Fourth Proportional to 210,006.70, 289,784.19 and 119,329.90

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Solution

The fourth proportional to 210,006.70, 289,784.19 and 119,329.90 is: 164,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006.70 : 289,784.19 = 119,329.90 : x
  2. Step 2: Convert to fraction form
    210,006.70/289,784.19 = 119,329.90/x
  3. Step 3: Cross multiply
    210,006.70x = 289,784.19 × 119,329.90
  4. Step 4: Simplify right side
    210,006.70x = 34,579,918,414.28
  5. Step 5: Solve for x
    x = 34,579,918,414.28/210,006.70
  6. Step 6: Final answer
    x = 164,661.02

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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.