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Finding the Fourth Proportional to 208,057.66, 312,012.68 and 74,902.17

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Solution

The fourth proportional to 208,057.66, 312,012.68 and 74,902.17 is: 112,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,057.66 : 312,012.68 = 74,902.17 : x
  2. Step 2: Convert to fraction form
    208,057.66/312,012.68 = 74,902.17/x
  3. Step 3: Cross multiply
    208,057.66x = 312,012.68 × 74,902.17
  4. Step 4: Simplify right side
    208,057.66x = 23,370,426,471.97
  5. Step 5: Solve for x
    x = 23,370,426,471.97/208,057.66
  6. Step 6: Final answer
    x = 112,326.68

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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.