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Finding the Fourth Proportional to 109,020.28, 150,510 and 70,814.20

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Solution

The fourth proportional to 109,020.28, 150,510 and 70,814.20 is: 97,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,020.28 : 150,510 = 70,814.20 : x
  2. Step 2: Convert to fraction form
    109,020.28/150,510 = 70,814.20/x
  3. Step 3: Cross multiply
    109,020.28x = 150,510 × 70,814.20
  4. Step 4: Simplify right side
    109,020.28x = 10,658,245,242
  5. Step 5: Solve for x
    x = 10,658,245,242/109,020.28
  6. Step 6: Final answer
    x = 97,763.88

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1.5x scale

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.