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Finding the Fourth Proportional to 208,010.34, 312,054.48 and 83,361.06

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Solution

The fourth proportional to 208,010.34, 312,054.48 and 83,361.06 is: 125,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.34 : 312,054.48 = 83,361.06 : x
  2. Step 2: Convert to fraction form
    208,010.34/312,054.48 = 83,361.06/x
  3. Step 3: Cross multiply
    208,010.34x = 312,054.48 × 83,361.06
  4. Step 4: Simplify right side
    208,010.34x = 26,013,192,230.55
  5. Step 5: Solve for x
    x = 26,013,192,230.55/208,010.34
  6. Step 6: Final answer
    x = 125,057.21

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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.