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Finding the Fourth Proportional to 105,002.80, 157,504.20 and 100,410.10

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Solution

The fourth proportional to 105,002.80, 157,504.20 and 100,410.10 is: 150,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,002.80 : 157,504.20 = 100,410.10 : x
  2. Step 2: Convert to fraction form
    105,002.80/157,504.20 = 100,410.10/x
  3. Step 3: Cross multiply
    105,002.80x = 157,504.20 × 100,410.10
  4. Step 4: Simplify right side
    105,002.80x = 15,815,012,472.42
  5. Step 5: Solve for x
    x = 15,815,012,472.42/105,002.80
  6. Step 6: Final answer
    x = 150,615.15

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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.