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Finding the Fourth Proportional to 76,107.50, 105,028.36 and 42,573.50

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Solution

The fourth proportional to 76,107.50, 105,028.36 and 42,573.50 is: 58,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,107.50 : 105,028.36 = 42,573.50 : x
  2. Step 2: Convert to fraction form
    76,107.50/105,028.36 = 42,573.50/x
  3. Step 3: Cross multiply
    76,107.50x = 105,028.36 × 42,573.50
  4. Step 4: Simplify right side
    76,107.50x = 4,471,424,884.46
  5. Step 5: Solve for x
    x = 4,471,424,884.46/76,107.50
  6. Step 6: Final answer
    x = 58,751.44

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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.