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Finding the Fourth Proportional to 75,630.72, 104,368.92 and 47,352

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Solution

The fourth proportional to 75,630.72, 104,368.92 and 47,352 is: 65,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,630.72 : 104,368.92 = 47,352 : x
  2. Step 2: Convert to fraction form
    75,630.72/104,368.92 = 47,352/x
  3. Step 3: Cross multiply
    75,630.72x = 104,368.92 × 47,352
  4. Step 4: Simplify right side
    75,630.72x = 4,942,077,099.84
  5. Step 5: Solve for x
    x = 4,942,077,099.84/75,630.72
  6. Step 6: Final answer
    x = 65,344.84

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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.