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Finding the Fourth Proportional to 78,683.22, 108,582.86 and 42,873.22

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Solution

The fourth proportional to 78,683.22, 108,582.86 and 42,873.22 is: 59,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.22 : 108,582.86 = 42,873.22 : x
  2. Step 2: Convert to fraction form
    78,683.22/108,582.86 = 42,873.22/x
  3. Step 3: Cross multiply
    78,683.22x = 108,582.86 × 42,873.22
  4. Step 4: Simplify right side
    78,683.22x = 4,655,296,845.01
  5. Step 5: Solve for x
    x = 4,655,296,845.01/78,683.22
  6. Step 6: Final answer
    x = 59,165.05

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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.