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Finding the Fourth Proportional to 76,671.60, 105,813.45 and 42,692.10

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Solution

The fourth proportional to 76,671.60, 105,813.45 and 42,692.10 is: 58,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671.60 : 105,813.45 = 42,692.10 : x
  2. Step 2: Convert to fraction form
    76,671.60/105,813.45 = 42,692.10/x
  3. Step 3: Cross multiply
    76,671.60x = 105,813.45 × 42,692.10
  4. Step 4: Simplify right side
    76,671.60x = 4,517,398,388.75
  5. Step 5: Solve for x
    x = 4,517,398,388.75/76,671.60
  6. Step 6: Final answer
    x = 58,918.80

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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.