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Finding the Fourth Proportional to 157,590, 217,474.20 and 85,970.31

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Solution

The fourth proportional to 157,590, 217,474.20 and 85,970.31 is: 118,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,590 : 217,474.20 = 85,970.31 : x
  2. Step 2: Convert to fraction form
    157,590/217,474.20 = 85,970.31/x
  3. Step 3: Cross multiply
    157,590x = 217,474.20 × 85,970.31
  4. Step 4: Simplify right side
    157,590x = 18,696,324,391.00
  5. Step 5: Solve for x
    x = 18,696,324,391.00/157,590
  6. Step 6: Final answer
    x = 118,639.03

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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.