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Finding the Fourth Proportional to 155,205.66, 214,188.12 and 87,228.84

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Solution

The fourth proportional to 155,205.66, 214,188.12 and 87,228.84 is: 120,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,205.66 : 214,188.12 = 87,228.84 : x
  2. Step 2: Convert to fraction form
    155,205.66/214,188.12 = 87,228.84/x
  3. Step 3: Cross multiply
    155,205.66x = 214,188.12 × 87,228.84
  4. Step 4: Simplify right side
    155,205.66x = 18,683,381,249.38
  5. Step 5: Solve for x
    x = 18,683,381,249.38/155,205.66
  6. Step 6: Final answer
    x = 120,378.22

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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.