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Finding the Fourth Proportional to 74,877.93, 112,284.09 and 28,098

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Solution

The fourth proportional to 74,877.93, 112,284.09 and 28,098 is: 42,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,877.93 : 112,284.09 = 28,098 : x
  2. Step 2: Convert to fraction form
    74,877.93/112,284.09 = 28,098/x
  3. Step 3: Cross multiply
    74,877.93x = 112,284.09 × 28,098
  4. Step 4: Simplify right side
    74,877.93x = 3,154,958,360.82
  5. Step 5: Solve for x
    x = 3,154,958,360.82/74,877.93
  6. Step 6: Final answer
    x = 42,134.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.