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Finding the Fourth Proportional to 219,019.64, 328,532.10 and 85,962.56

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Solution

The fourth proportional to 219,019.64, 328,532.10 and 85,962.56 is: 128,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,019.64 : 328,532.10 = 85,962.56 : x
  2. Step 2: Convert to fraction form
    219,019.64/328,532.10 = 85,962.56/x
  3. Step 3: Cross multiply
    219,019.64x = 328,532.10 × 85,962.56
  4. Step 4: Simplify right side
    219,019.64x = 28,241,460,358.18
  5. Step 5: Solve for x
    x = 28,241,460,358.18/219,019.64
  6. Step 6: Final answer
    x = 128,944.88

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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.