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Finding the Fourth Proportional to 76,320.99, 105,321.40 and 42,323.99

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Solution

The fourth proportional to 76,320.99, 105,321.40 and 42,323.99 is: 58,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320.99 : 105,321.40 = 42,323.99 : x
  2. Step 2: Convert to fraction form
    76,320.99/105,321.40 = 42,323.99/x
  3. Step 3: Cross multiply
    76,320.99x = 105,321.40 × 42,323.99
  4. Step 4: Simplify right side
    76,320.99x = 4,457,622,037.88
  5. Step 5: Solve for x
    x = 4,457,622,037.88/76,320.99
  6. Step 6: Final answer
    x = 58,406.24

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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.