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Finding the Fourth Proportional to 208,810.32, 288,297 and 123,954.64

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Solution

The fourth proportional to 208,810.32, 288,297 and 123,954.64 is: 171,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810.32 : 288,297 = 123,954.64 : x
  2. Step 2: Convert to fraction form
    208,810.32/288,297 = 123,954.64/x
  3. Step 3: Cross multiply
    208,810.32x = 288,297 × 123,954.64
  4. Step 4: Simplify right side
    208,810.32x = 35,735,750,848.08
  5. Step 5: Solve for x
    x = 35,735,750,848.08/208,810.32
  6. Step 6: Final answer
    x = 171,139.77

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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.