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Finding the Fourth Proportional to 150,987.54, 208,363.19 and 86,457.78

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Solution

The fourth proportional to 150,987.54, 208,363.19 and 86,457.78 is: 119,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,987.54 : 208,363.19 = 86,457.78 : x
  2. Step 2: Convert to fraction form
    150,987.54/208,363.19 = 86,457.78/x
  3. Step 3: Cross multiply
    150,987.54x = 208,363.19 × 86,457.78
  4. Step 4: Simplify right side
    150,987.54x = 18,014,618,408.83
  5. Step 5: Solve for x
    x = 18,014,618,408.83/150,987.54
  6. Step 6: Final answer
    x = 119,311.95

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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.