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Finding the Fourth Proportional to 78,683.66, 108,583.47 and 42,873.68

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Solution

The fourth proportional to 78,683.66, 108,583.47 and 42,873.68 is: 59,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.66 : 108,583.47 = 42,873.68 : x
  2. Step 2: Convert to fraction form
    78,683.66/108,583.47 = 42,873.68/x
  3. Step 3: Cross multiply
    78,683.66x = 108,583.47 × 42,873.68
  4. Step 4: Simplify right side
    78,683.66x = 4,655,372,403.15
  5. Step 5: Solve for x
    x = 4,655,372,403.15/78,683.66
  6. Step 6: Final answer
    x = 59,165.69

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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.