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Finding the Fourth Proportional to 76,509.36, 105,591.12 and 46,311.28

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Solution

The fourth proportional to 76,509.36, 105,591.12 and 46,311.28 is: 63,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.36 : 105,591.12 = 46,311.28 : x
  2. Step 2: Convert to fraction form
    76,509.36/105,591.12 = 46,311.28/x
  3. Step 3: Cross multiply
    76,509.36x = 105,591.12 × 46,311.28
  4. Step 4: Simplify right side
    76,509.36x = 4,890,059,923.83
  5. Step 5: Solve for x
    x = 4,890,059,923.83/76,509.36
  6. Step 6: Final answer
    x = 63,914.53

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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.