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Finding the Fourth Proportional to 76,752, 105,917.76 and 44,919.36

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Solution

The fourth proportional to 76,752, 105,917.76 and 44,919.36 is: 61,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752 : 105,917.76 = 44,919.36 : x
  2. Step 2: Convert to fraction form
    76,752/105,917.76 = 44,919.36/x
  3. Step 3: Cross multiply
    76,752x = 105,917.76 × 44,919.36
  4. Step 4: Simplify right side
    76,752x = 4,757,757,991.83
  5. Step 5: Solve for x
    x = 4,757,757,991.83/76,752
  6. Step 6: Final answer
    x = 61,988.72

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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.