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Finding the Fourth Proportional to 208,818.32, 288,308.04 and 123,962.64

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Solution

The fourth proportional to 208,818.32, 288,308.04 and 123,962.64 is: 171,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,818.32 : 288,308.04 = 123,962.64 : x
  2. Step 2: Convert to fraction form
    208,818.32/288,308.04 = 123,962.64/x
  3. Step 3: Cross multiply
    208,818.32x = 288,308.04 × 123,962.64
  4. Step 4: Simplify right side
    208,818.32x = 35,739,425,771.63
  5. Step 5: Solve for x
    x = 35,739,425,771.63/208,818.32
  6. Step 6: Final answer
    x = 171,150.82

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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.