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Finding the Fourth Proportional to 76,839.40, 115,259.10 and 21,435.40

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Solution

The fourth proportional to 76,839.40, 115,259.10 and 21,435.40 is: 32,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,839.40 : 115,259.10 = 21,435.40 : x
  2. Step 2: Convert to fraction form
    76,839.40/115,259.10 = 21,435.40/x
  3. Step 3: Cross multiply
    76,839.40x = 115,259.10 × 21,435.40
  4. Step 4: Simplify right side
    76,839.40x = 2,470,624,912.14
  5. Step 5: Solve for x
    x = 2,470,624,912.14/76,839.40
  6. Step 6: Final answer
    x = 32,153.10

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1.5x scale

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.