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Finding the Fourth Proportional to 257,696.50, 355,660.05 and 157,152.82

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Solution

The fourth proportional to 257,696.50, 355,660.05 and 157,152.82 is: 216,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,696.50 : 355,660.05 = 157,152.82 : x
  2. Step 2: Convert to fraction form
    257,696.50/355,660.05 = 157,152.82/x
  3. Step 3: Cross multiply
    257,696.50x = 355,660.05 × 157,152.82
  4. Step 4: Simplify right side
    257,696.50x = 55,892,979,818.84
  5. Step 5: Solve for x
    x = 55,892,979,818.84/257,696.50
  6. Step 6: Final answer
    x = 216,894.60

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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.