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Finding the Fourth Proportional to 170,984, 256,337.64 and 71,219.14

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Solution

The fourth proportional to 170,984, 256,337.64 and 71,219.14 is: 106,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,984 : 256,337.64 = 71,219.14 : x
  2. Step 2: Convert to fraction form
    170,984/256,337.64 = 71,219.14/x
  3. Step 3: Cross multiply
    170,984x = 256,337.64 × 71,219.14
  4. Step 4: Simplify right side
    170,984x = 18,256,146,270.43
  5. Step 5: Solve for x
    x = 18,256,146,270.43/170,984
  6. Step 6: Final answer
    x = 106,771.08

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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.