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Finding the Fourth Proportional to 75,678, 113,342.04 and 73,053.60

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Solution

The fourth proportional to 75,678, 113,342.04 and 73,053.60 is: 109,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678 : 113,342.04 = 73,053.60 : x
  2. Step 2: Convert to fraction form
    75,678/113,342.04 = 73,053.60/x
  3. Step 3: Cross multiply
    75,678x = 113,342.04 × 73,053.60
  4. Step 4: Simplify right side
    75,678x = 8,280,044,053.34
  5. Step 5: Solve for x
    x = 8,280,044,053.34/75,678
  6. Step 6: Final answer
    x = 109,411.51

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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.