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Finding the Fourth Proportional to 153,096, 211,292.28 and 86,028

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Solution

The fourth proportional to 153,096, 211,292.28 and 86,028 is: 118,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096 : 211,292.28 = 86,028 : x
  2. Step 2: Convert to fraction form
    153,096/211,292.28 = 86,028/x
  3. Step 3: Cross multiply
    153,096x = 211,292.28 × 86,028
  4. Step 4: Simplify right side
    153,096x = 18,177,052,263.84
  5. Step 5: Solve for x
    x = 18,177,052,263.84/153,096
  6. Step 6: Final answer
    x = 118,729.77

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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.