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Finding the Fourth Proportional to 100,014.60, 149,849.10 and 84,462.60

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Solution

The fourth proportional to 100,014.60, 149,849.10 and 84,462.60 is: 126,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014.60 : 149,849.10 = 84,462.60 : x
  2. Step 2: Convert to fraction form
    100,014.60/149,849.10 = 84,462.60/x
  3. Step 3: Cross multiply
    100,014.60x = 149,849.10 × 84,462.60
  4. Step 4: Simplify right side
    100,014.60x = 12,656,644,593.66
  5. Step 5: Solve for x
    x = 12,656,644,593.66/100,014.60
  6. Step 6: Final answer
    x = 126,547.97

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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.