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Finding the Fourth Proportional to 76,305.85, 105,300.12 and 42,313.79

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Solution

The fourth proportional to 76,305.85, 105,300.12 and 42,313.79 is: 58,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.85 : 105,300.12 = 42,313.79 : x
  2. Step 2: Convert to fraction form
    76,305.85/105,300.12 = 42,313.79/x
  3. Step 3: Cross multiply
    76,305.85x = 105,300.12 × 42,313.79
  4. Step 4: Simplify right side
    76,305.85x = 4,455,647,164.65
  5. Step 5: Solve for x
    x = 4,455,647,164.65/76,305.85
  6. Step 6: Final answer
    x = 58,391.95

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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.