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Finding the Fourth Proportional to 153,760, 212,188.80 and 83,104

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Solution

The fourth proportional to 153,760, 212,188.80 and 83,104 is: 114,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760 : 212,188.80 = 83,104 : x
  2. Step 2: Convert to fraction form
    153,760/212,188.80 = 83,104/x
  3. Step 3: Cross multiply
    153,760x = 212,188.80 × 83,104
  4. Step 4: Simplify right side
    153,760x = 17,633,738,035.20
  5. Step 5: Solve for x
    x = 17,633,738,035.20/153,760
  6. Step 6: Final answer
    x = 114,683.52

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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.