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Finding the Fourth Proportional to 78,683.40, 108,582.12 and 42,872.49

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Solution

The fourth proportional to 78,683.40, 108,582.12 and 42,872.49 is: 59,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.40 : 108,582.12 = 42,872.49 : x
  2. Step 2: Convert to fraction form
    78,683.40/108,582.12 = 42,872.49/x
  3. Step 3: Cross multiply
    78,683.40x = 108,582.12 × 42,872.49
  4. Step 4: Simplify right side
    78,683.40x = 4,655,185,853.88
  5. Step 5: Solve for x
    x = 4,655,185,853.88/78,683.40
  6. Step 6: Final answer
    x = 59,163.51

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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.