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Finding the Fourth Proportional to 103,147.86, 154,459.20 and 67,980.90

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Solution

The fourth proportional to 103,147.86, 154,459.20 and 67,980.90 is: 101,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,147.86 : 154,459.20 = 67,980.90 : x
  2. Step 2: Convert to fraction form
    103,147.86/154,459.20 = 67,980.90/x
  3. Step 3: Cross multiply
    103,147.86x = 154,459.20 × 67,980.90
  4. Step 4: Simplify right side
    103,147.86x = 10,500,275,429.28
  5. Step 5: Solve for x
    x = 10,500,275,429.28/103,147.86
  6. Step 6: Final answer
    x = 101,798.29

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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.