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Finding the Fourth Proportional to 210,103.10, 289,966.45 and 116,978.21

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Solution

The fourth proportional to 210,103.10, 289,966.45 and 116,978.21 is: 161,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,103.10 : 289,966.45 = 116,978.21 : x
  2. Step 2: Convert to fraction form
    210,103.10/289,966.45 = 116,978.21/x
  3. Step 3: Cross multiply
    210,103.10x = 289,966.45 × 116,978.21
  4. Step 4: Simplify right side
    210,103.10x = 33,919,756,281.05
  5. Step 5: Solve for x
    x = 33,919,756,281.05/210,103.10
  6. Step 6: Final answer
    x = 161,443.39

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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.