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Finding the Fourth Proportional to 78,321, 108,083.07 and 42,511

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Solution

The fourth proportional to 78,321, 108,083.07 and 42,511 is: 58,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321 : 108,083.07 = 42,511 : x
  2. Step 2: Convert to fraction form
    78,321/108,083.07 = 42,511/x
  3. Step 3: Cross multiply
    78,321x = 108,083.07 × 42,511
  4. Step 4: Simplify right side
    78,321x = 4,594,719,388.77
  5. Step 5: Solve for x
    x = 4,594,719,388.77/78,321
  6. Step 6: Final answer
    x = 58,665.23

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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.