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Finding the Fourth Proportional to 157,596.42, 217,478.76 and 85,976.43

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Solution

The fourth proportional to 157,596.42, 217,478.76 and 85,976.43 is: 118,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,596.42 : 217,478.76 = 85,976.43 : x
  2. Step 2: Convert to fraction form
    157,596.42/217,478.76 = 85,976.43/x
  3. Step 3: Cross multiply
    157,596.42x = 217,478.76 × 85,976.43
  4. Step 4: Simplify right side
    157,596.42x = 18,698,047,385.63
  5. Step 5: Solve for x
    x = 18,698,047,385.63/157,596.42
  6. Step 6: Final answer
    x = 118,645.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.