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Finding the Fourth Proportional to 57,612.42, 86,279.31 and 47,678.58

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Solution

The fourth proportional to 57,612.42, 86,279.31 and 47,678.58 is: 71,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,612.42 : 86,279.31 = 47,678.58 : x
  2. Step 2: Convert to fraction form
    57,612.42/86,279.31 = 47,678.58/x
  3. Step 3: Cross multiply
    57,612.42x = 86,279.31 × 47,678.58
  4. Step 4: Simplify right side
    57,612.42x = 4,113,674,984.18
  5. Step 5: Solve for x
    x = 4,113,674,984.18/57,612.42
  6. Step 6: Final answer
    x = 71,402.57

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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.