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Finding the Fourth Proportional to 218,784.28, 328,045.02 and 85,505.72

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Solution

The fourth proportional to 218,784.28, 328,045.02 and 85,505.72 is: 128,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,784.28 : 328,045.02 = 85,505.72 : x
  2. Step 2: Convert to fraction form
    218,784.28/328,045.02 = 85,505.72/x
  3. Step 3: Cross multiply
    218,784.28x = 328,045.02 × 85,505.72
  4. Step 4: Simplify right side
    218,784.28x = 28,049,725,627.51
  5. Step 5: Solve for x
    x = 28,049,725,627.51/218,784.28
  6. Step 6: Final answer
    x = 128,207.23

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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.