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Finding the Fourth Proportional to 153,868, 212,338.48 and 83,212

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Solution

The fourth proportional to 153,868, 212,338.48 and 83,212 is: 114,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,868 : 212,338.48 = 83,212 : x
  2. Step 2: Convert to fraction form
    153,868/212,338.48 = 83,212/x
  3. Step 3: Cross multiply
    153,868x = 212,338.48 × 83,212
  4. Step 4: Simplify right side
    153,868x = 17,669,109,597.76
  5. Step 5: Solve for x
    x = 17,669,109,597.76/153,868
  6. Step 6: Final answer
    x = 114,832.91

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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.