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Finding the Fourth Proportional to 219,039.84, 328,595.16 and 85,847.84

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Solution

The fourth proportional to 219,039.84, 328,595.16 and 85,847.84 is: 128,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,039.84 : 328,595.16 = 85,847.84 : x
  2. Step 2: Convert to fraction form
    219,039.84/328,595.16 = 85,847.84/x
  3. Step 3: Cross multiply
    219,039.84x = 328,595.16 × 85,847.84
  4. Step 4: Simplify right side
    219,039.84x = 28,209,184,720.45
  5. Step 5: Solve for x
    x = 28,209,184,720.45/219,039.84
  6. Step 6: Final answer
    x = 128,785.63

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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.