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Finding the Fourth Proportional to 153,979, 212,491.66 and 83,323

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Solution

The fourth proportional to 153,979, 212,491.66 and 83,323 is: 114,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,979 : 212,491.66 = 83,323 : x
  2. Step 2: Convert to fraction form
    153,979/212,491.66 = 83,323/x
  3. Step 3: Cross multiply
    153,979x = 212,491.66 × 83,323
  4. Step 4: Simplify right side
    153,979x = 17,705,442,586.18
  5. Step 5: Solve for x
    x = 17,705,442,586.18/153,979
  6. Step 6: Final answer
    x = 114,986.09

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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.