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Finding the Fourth Proportional to 208,309.74, 287,485.14 and 117,682.34

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Solution

The fourth proportional to 208,309.74, 287,485.14 and 117,682.34 is: 162,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,309.74 : 287,485.14 = 117,682.34 : x
  2. Step 2: Convert to fraction form
    208,309.74/287,485.14 = 117,682.34/x
  3. Step 3: Cross multiply
    208,309.74x = 287,485.14 × 117,682.34
  4. Step 4: Simplify right side
    208,309.74x = 33,831,924,709.14
  5. Step 5: Solve for x
    x = 33,831,924,709.14/208,309.74
  6. Step 6: Final answer
    x = 162,411.63

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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.