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Finding the Fourth Proportional to 153,768, 212,199.84 and 83,112

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Solution

The fourth proportional to 153,768, 212,199.84 and 83,112 is: 114,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,768 : 212,199.84 = 83,112 : x
  2. Step 2: Convert to fraction form
    153,768/212,199.84 = 83,112/x
  3. Step 3: Cross multiply
    153,768x = 212,199.84 × 83,112
  4. Step 4: Simplify right side
    153,768x = 17,636,353,102.08
  5. Step 5: Solve for x
    x = 17,636,353,102.08/153,768
  6. Step 6: Final answer
    x = 114,694.56

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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.