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Finding the Fourth Proportional to 78,321.62, 108,083.93 and 42,511.63

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Solution

The fourth proportional to 78,321.62, 108,083.93 and 42,511.63 is: 58,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.62 : 108,083.93 = 42,511.63 : x
  2. Step 2: Convert to fraction form
    78,321.62/108,083.93 = 42,511.63/x
  3. Step 3: Cross multiply
    78,321.62x = 108,083.93 × 42,511.63
  4. Step 4: Simplify right side
    78,321.62x = 4,594,824,041.11
  5. Step 5: Solve for x
    x = 4,594,824,041.11/78,321.62
  6. Step 6: Final answer
    x = 58,666.10

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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.