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Finding the Fourth Proportional to 76,305.48, 105,295.84 and 42,765

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Solution

The fourth proportional to 76,305.48, 105,295.84 and 42,765 is: 59,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.48 : 105,295.84 = 42,765 : x
  2. Step 2: Convert to fraction form
    76,305.48/105,295.84 = 42,765/x
  3. Step 3: Cross multiply
    76,305.48x = 105,295.84 × 42,765
  4. Step 4: Simplify right side
    76,305.48x = 4,502,976,597.60
  5. Step 5: Solve for x
    x = 4,502,976,597.60/76,305.48
  6. Step 6: Final answer
    x = 59,012.49

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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.