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Finding the Fourth Proportional to 157,362.84, 217,157.99 and 85,743.45

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Solution

The fourth proportional to 157,362.84, 217,157.99 and 85,743.45 is: 118,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362.84 : 217,157.99 = 85,743.45 : x
  2. Step 2: Convert to fraction form
    157,362.84/217,157.99 = 85,743.45/x
  3. Step 3: Cross multiply
    157,362.84x = 217,157.99 × 85,743.45
  4. Step 4: Simplify right side
    157,362.84x = 18,619,874,828.95
  5. Step 5: Solve for x
    x = 18,619,874,828.95/157,362.84
  6. Step 6: Final answer
    x = 118,324.47

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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.