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Finding the Fourth Proportional to 76,728.75, 105,838.29 and 44,876.31

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Solution

The fourth proportional to 76,728.75, 105,838.29 and 44,876.31 is: 61,901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.75 : 105,838.29 = 44,876.31 : x
  2. Step 2: Convert to fraction form
    76,728.75/105,838.29 = 44,876.31/x
  3. Step 3: Cross multiply
    76,728.75x = 105,838.29 × 44,876.31
  4. Step 4: Simplify right side
    76,728.75x = 4,749,631,911.91
  5. Step 5: Solve for x
    x = 4,749,631,911.91/76,728.75
  6. Step 6: Final answer
    x = 61,901.59

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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.