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Finding the Fourth Proportional to 208,858.32, 288,155.88 and 118,205.28

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Solution

The fourth proportional to 208,858.32, 288,155.88 and 118,205.28 is: 163,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.32 : 288,155.88 = 118,205.28 : x
  2. Step 2: Convert to fraction form
    208,858.32/288,155.88 = 118,205.28/x
  3. Step 3: Cross multiply
    208,858.32x = 288,155.88 × 118,205.28
  4. Step 4: Simplify right side
    208,858.32x = 34,061,546,479.05
  5. Step 5: Solve for x
    x = 34,061,546,479.05/208,858.32
  6. Step 6: Final answer
    x = 163,084.46

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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.