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Finding the Fourth Proportional to 272,906.16, 409,173.93 and 95,316

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Solution

The fourth proportional to 272,906.16, 409,173.93 and 95,316 is: 142,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,906.16 : 409,173.93 = 95,316 : x
  2. Step 2: Convert to fraction form
    272,906.16/409,173.93 = 95,316/x
  3. Step 3: Cross multiply
    272,906.16x = 409,173.93 × 95,316
  4. Step 4: Simplify right side
    272,906.16x = 39,000,822,311.88
  5. Step 5: Solve for x
    x = 39,000,822,311.88/272,906.16
  6. Step 6: Final answer
    x = 142,909.28

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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.