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Finding the Fourth Proportional to 76,805.40, 105,991.12 and 42,813.48

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Solution

The fourth proportional to 76,805.40, 105,991.12 and 42,813.48 is: 59,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805.40 : 105,991.12 = 42,813.48 : x
  2. Step 2: Convert to fraction form
    76,805.40/105,991.12 = 42,813.48/x
  3. Step 3: Cross multiply
    76,805.40x = 105,991.12 × 42,813.48
  4. Step 4: Simplify right side
    76,805.40x = 4,537,848,696.30
  5. Step 5: Solve for x
    x = 4,537,848,696.30/76,805.40
  6. Step 6: Final answer
    x = 59,082.42

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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.