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Finding the Fourth Proportional to 76,305.80, 105,302.00 and 42,319.48

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Solution

The fourth proportional to 76,305.80, 105,302.00 and 42,319.48 is: 58,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.80 : 105,302.00 = 42,319.48 : x
  2. Step 2: Convert to fraction form
    76,305.80/105,302.00 = 42,319.48/x
  3. Step 3: Cross multiply
    76,305.80x = 105,302.00 × 42,319.48
  4. Step 4: Simplify right side
    76,305.80x = 4,456,325,359.68
  5. Step 5: Solve for x
    x = 4,456,325,359.68/76,305.80
  6. Step 6: Final answer
    x = 58,400.88

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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.