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Finding the Fourth Proportional to 153,633, 212,013.66 and 82,977

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Solution

The fourth proportional to 153,633, 212,013.66 and 82,977 is: 114,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,633 : 212,013.66 = 82,977 : x
  2. Step 2: Convert to fraction form
    153,633/212,013.66 = 82,977/x
  3. Step 3: Cross multiply
    153,633x = 212,013.66 × 82,977
  4. Step 4: Simplify right side
    153,633x = 17,592,257,465.82
  5. Step 5: Solve for x
    x = 17,592,257,465.82/153,633
  6. Step 6: Final answer
    x = 114,508.32

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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.