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Finding the Fourth Proportional to 208,505.81, 287,742.44 and 117,856.35

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Solution

The fourth proportional to 208,505.81, 287,742.44 and 117,856.35 is: 162,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,505.81 : 287,742.44 = 117,856.35 : x
  2. Step 2: Convert to fraction form
    208,505.81/287,742.44 = 117,856.35/x
  3. Step 3: Cross multiply
    208,505.81x = 287,742.44 × 117,856.35
  4. Step 4: Simplify right side
    208,505.81x = 33,912,274,013.13
  5. Step 5: Solve for x
    x = 33,912,274,013.13/208,505.81
  6. Step 6: Final answer
    x = 162,644.26

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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.