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Finding the Fourth Proportional to 257,696, 355,659.36 and 157,152.32

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Solution

The fourth proportional to 257,696, 355,659.36 and 157,152.32 is: 216,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,696 : 355,659.36 = 157,152.32 : x
  2. Step 2: Convert to fraction form
    257,696/355,659.36 = 157,152.32/x
  3. Step 3: Cross multiply
    257,696x = 355,659.36 × 157,152.32
  4. Step 4: Simplify right side
    257,696x = 55,892,693,553.72
  5. Step 5: Solve for x
    x = 55,892,693,553.72/257,696
  6. Step 6: Final answer
    x = 216,893.91

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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.