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Finding the Fourth Proportional to 153,977.50, 212,489.59 and 83,321.50

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Solution

The fourth proportional to 153,977.50, 212,489.59 and 83,321.50 is: 114,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,977.50 : 212,489.59 = 83,321.50 : x
  2. Step 2: Convert to fraction form
    153,977.50/212,489.59 = 83,321.50/x
  3. Step 3: Cross multiply
    153,977.50x = 212,489.59 × 83,321.50
  4. Step 4: Simplify right side
    153,977.50x = 17,704,951,373.19
  5. Step 5: Solve for x
    x = 17,704,951,373.19/153,977.50
  6. Step 6: Final answer
    x = 114,984.02

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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.