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Finding the Fourth Proportional to 76,653.54, 105,752.31 and 56,558.66

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Solution

The fourth proportional to 76,653.54, 105,752.31 and 56,558.66 is: 78,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653.54 : 105,752.31 = 56,558.66 : x
  2. Step 2: Convert to fraction form
    76,653.54/105,752.31 = 56,558.66/x
  3. Step 3: Cross multiply
    76,653.54x = 105,752.31 × 56,558.66
  4. Step 4: Simplify right side
    76,653.54x = 5,981,208,416.74
  5. Step 5: Solve for x
    x = 5,981,208,416.74/76,653.54
  6. Step 6: Final answer
    x = 78,029.12

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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.