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Finding the Fourth Proportional to 75,310.72, 112,878.42 and 55,405

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Solution

The fourth proportional to 75,310.72, 112,878.42 and 55,405 is: 83,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310.72 : 112,878.42 = 55,405 : x
  2. Step 2: Convert to fraction form
    75,310.72/112,878.42 = 55,405/x
  3. Step 3: Cross multiply
    75,310.72x = 112,878.42 × 55,405
  4. Step 4: Simplify right side
    75,310.72x = 6,254,028,860.10
  5. Step 5: Solve for x
    x = 6,254,028,860.10/75,310.72
  6. Step 6: Final answer
    x = 83,043.01

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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.