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Finding the Fourth Proportional to 153,419, 211,609.14 and 102,406

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Solution

The fourth proportional to 153,419, 211,609.14 and 102,406 is: 141,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,419 : 211,609.14 = 102,406 : x
  2. Step 2: Convert to fraction form
    153,419/211,609.14 = 102,406/x
  3. Step 3: Cross multiply
    153,419x = 211,609.14 × 102,406
  4. Step 4: Simplify right side
    153,419x = 21,670,045,590.84
  5. Step 5: Solve for x
    x = 21,670,045,590.84/153,419
  6. Step 6: Final answer
    x = 141,247.47

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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.