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Finding the Fourth Proportional to 157,392.52, 217,201.30 and 85,772.35

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Solution

The fourth proportional to 157,392.52, 217,201.30 and 85,772.35 is: 118,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,392.52 : 217,201.30 = 85,772.35 : x
  2. Step 2: Convert to fraction form
    157,392.52/217,201.30 = 85,772.35/x
  3. Step 3: Cross multiply
    157,392.52x = 217,201.30 × 85,772.35
  4. Step 4: Simplify right side
    157,392.52x = 18,629,865,981.13
  5. Step 5: Solve for x
    x = 18,629,865,981.13/157,392.52
  6. Step 6: Final answer
    x = 118,365.64

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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.