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Finding the Fourth Proportional to 152,696.78, 210,721.60 and 85,628.78

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Solution

The fourth proportional to 152,696.78, 210,721.60 and 85,628.78 is: 118,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,696.78 : 210,721.60 = 85,628.78 : x
  2. Step 2: Convert to fraction form
    152,696.78/210,721.60 = 85,628.78/x
  3. Step 3: Cross multiply
    152,696.78x = 210,721.60 × 85,628.78
  4. Step 4: Simplify right side
    152,696.78x = 18,043,833,527.65
  5. Step 5: Solve for x
    x = 18,043,833,527.65/152,696.78
  6. Step 6: Final answer
    x = 118,167.74

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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.