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Finding the Fourth Proportional to 78,321.77, 108,084.14 and 42,511.77

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Solution

The fourth proportional to 78,321.77, 108,084.14 and 42,511.77 is: 58,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.77 : 108,084.14 = 42,511.77 : x
  2. Step 2: Convert to fraction form
    78,321.77/108,084.14 = 42,511.77/x
  3. Step 3: Cross multiply
    78,321.77x = 108,084.14 × 42,511.77
  4. Step 4: Simplify right side
    78,321.77x = 4,594,848,100.33
  5. Step 5: Solve for x
    x = 4,594,848,100.33/78,321.77
  6. Step 6: Final answer
    x = 58,666.30

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1.5x scale

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.