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Finding the Fourth Proportional to 78,051.75, 117,073.52 and 21,895.77

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Solution

The fourth proportional to 78,051.75, 117,073.52 and 21,895.77 is: 32,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.75 : 117,073.52 = 21,895.77 : x
  2. Step 2: Convert to fraction form
    78,051.75/117,073.52 = 21,895.77/x
  3. Step 3: Cross multiply
    78,051.75x = 117,073.52 × 21,895.77
  4. Step 4: Simplify right side
    78,051.75x = 2,563,414,757.53
  5. Step 5: Solve for x
    x = 2,563,414,757.53/78,051.75
  6. Step 6: Final answer
    x = 32,842.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.