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Finding the Fourth Proportional to 208,112.77, 287,164.73 and 126,398.50

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Solution

The fourth proportional to 208,112.77, 287,164.73 and 126,398.50 is: 174,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.77 : 287,164.73 = 126,398.50 : x
  2. Step 2: Convert to fraction form
    208,112.77/287,164.73 = 126,398.50/x
  3. Step 3: Cross multiply
    208,112.77x = 287,164.73 × 126,398.50
  4. Step 4: Simplify right side
    208,112.77x = 36,297,189,775.00
  5. Step 5: Solve for x
    x = 36,297,189,775.00/208,112.77
  6. Step 6: Final answer
    x = 174,411.16

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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.