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Finding the Fourth Proportional to 161,955.12, 242,932.68 and 83,019

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Solution

The fourth proportional to 161,955.12, 242,932.68 and 83,019 is: 124,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,955.12 : 242,932.68 = 83,019 : x
  2. Step 2: Convert to fraction form
    161,955.12/242,932.68 = 83,019/x
  3. Step 3: Cross multiply
    161,955.12x = 242,932.68 × 83,019
  4. Step 4: Simplify right side
    161,955.12x = 20,168,028,160.92
  5. Step 5: Solve for x
    x = 20,168,028,160.92/161,955.12
  6. Step 6: Final answer
    x = 124,528.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.