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Finding the Fourth Proportional to 272,532, 408,801.64 and 85,543.50

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Solution

The fourth proportional to 272,532, 408,801.64 and 85,543.50 is: 128,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,532 : 408,801.64 = 85,543.50 : x
  2. Step 2: Convert to fraction form
    272,532/408,801.64 = 85,543.50/x
  3. Step 3: Cross multiply
    272,532x = 408,801.64 × 85,543.50
  4. Step 4: Simplify right side
    272,532x = 34,970,323,091.34
  5. Step 5: Solve for x
    x = 34,970,323,091.34/272,532
  6. Step 6: Final answer
    x = 128,316.39

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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.