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Finding the Fourth Proportional to 76,873.76, 115,226.40 and 30,075.20

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Solution

The fourth proportional to 76,873.76, 115,226.40 and 30,075.20 is: 45,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.76 : 115,226.40 = 30,075.20 : x
  2. Step 2: Convert to fraction form
    76,873.76/115,226.40 = 30,075.20/x
  3. Step 3: Cross multiply
    76,873.76x = 115,226.40 × 30,075.20
  4. Step 4: Simplify right side
    76,873.76x = 3,465,457,025.28
  5. Step 5: Solve for x
    x = 3,465,457,025.28/76,873.76
  6. Step 6: Final answer
    x = 45,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.