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Finding the Fourth Proportional to 208,820.08, 288,040.62 and 123,877

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Solution

The fourth proportional to 208,820.08, 288,040.62 and 123,877 is: 170,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,820.08 : 288,040.62 = 123,877 : x
  2. Step 2: Convert to fraction form
    208,820.08/288,040.62 = 123,877/x
  3. Step 3: Cross multiply
    208,820.08x = 288,040.62 × 123,877
  4. Step 4: Simplify right side
    208,820.08x = 35,681,607,883.74
  5. Step 5: Solve for x
    x = 35,681,607,883.74/208,820.08
  6. Step 6: Final answer
    x = 170,872.49

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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.