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Finding the Fourth Proportional to 153,977, 212,488.90 and 83,321

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Solution

The fourth proportional to 153,977, 212,488.90 and 83,321 is: 114,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,977 : 212,488.90 = 83,321 : x
  2. Step 2: Convert to fraction form
    153,977/212,488.90 = 83,321/x
  3. Step 3: Cross multiply
    153,977x = 212,488.90 × 83,321
  4. Step 4: Simplify right side
    153,977x = 17,704,787,636.90
  5. Step 5: Solve for x
    x = 17,704,787,636.90/153,977
  6. Step 6: Final answer
    x = 114,983.33

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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.