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Finding the Fourth Proportional to 76,359.81, 105,380.16 and 47,696.45

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Solution

The fourth proportional to 76,359.81, 105,380.16 and 47,696.45 is: 65,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,359.81 : 105,380.16 = 47,696.45 : x
  2. Step 2: Convert to fraction form
    76,359.81/105,380.16 = 47,696.45/x
  3. Step 3: Cross multiply
    76,359.81x = 105,380.16 × 47,696.45
  4. Step 4: Simplify right side
    76,359.81x = 5,026,258,826.67
  5. Step 5: Solve for x
    x = 5,026,258,826.67/76,359.81
  6. Step 6: Final answer
    x = 65,823.35

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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.