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Finding the Fourth Proportional to 76,641.80, 105,784.26 and 51,149.48

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Solution

The fourth proportional to 76,641.80, 105,784.26 and 51,149.48 is: 70,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641.80 : 105,784.26 = 51,149.48 : x
  2. Step 2: Convert to fraction form
    76,641.80/105,784.26 = 51,149.48/x
  3. Step 3: Cross multiply
    76,641.80x = 105,784.26 × 51,149.48
  4. Step 4: Simplify right side
    76,641.80x = 5,410,809,891.18
  5. Step 5: Solve for x
    x = 5,410,809,891.18/76,641.80
  6. Step 6: Final answer
    x = 70,598.68

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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.