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Finding the Fourth Proportional to 105,846.30, 158,769.45 and 76,200.30

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Solution

The fourth proportional to 105,846.30, 158,769.45 and 76,200.30 is: 114,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846.30 : 158,769.45 = 76,200.30 : x
  2. Step 2: Convert to fraction form
    105,846.30/158,769.45 = 76,200.30/x
  3. Step 3: Cross multiply
    105,846.30x = 158,769.45 × 76,200.30
  4. Step 4: Simplify right side
    105,846.30x = 12,098,279,720.84
  5. Step 5: Solve for x
    x = 12,098,279,720.84/105,846.30
  6. Step 6: Final answer
    x = 114,300.45

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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.