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Finding the Fourth Proportional to 123,678.67, 170,597.05 and 82,844.95

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Solution

The fourth proportional to 123,678.67, 170,597.05 and 82,844.95 is: 114,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678.67 : 170,597.05 = 82,844.95 : x
  2. Step 2: Convert to fraction form
    123,678.67/170,597.05 = 82,844.95/x
  3. Step 3: Cross multiply
    123,678.67x = 170,597.05 × 82,844.95
  4. Step 4: Simplify right side
    123,678.67x = 14,133,104,077.40
  5. Step 5: Solve for x
    x = 14,133,104,077.40/123,678.67
  6. Step 6: Final answer
    x = 114,272.77

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1.5x scale

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.