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Finding the Fourth Proportional to 100,329.40, 138,472.20 and 76,210.20

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Solution

The fourth proportional to 100,329.40, 138,472.20 and 76,210.20 is: 105,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329.40 : 138,472.20 = 76,210.20 : x
  2. Step 2: Convert to fraction form
    100,329.40/138,472.20 = 76,210.20/x
  3. Step 3: Cross multiply
    100,329.40x = 138,472.20 × 76,210.20
  4. Step 4: Simplify right side
    100,329.40x = 10,552,994,056.44
  5. Step 5: Solve for x
    x = 10,552,994,056.44/100,329.40
  6. Step 6: Final answer
    x = 105,183.47

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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.