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Finding the Fourth Proportional to 152,792, 210,852.96 and 85,722.56

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Solution

The fourth proportional to 152,792, 210,852.96 and 85,722.56 is: 118,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,792 : 210,852.96 = 85,722.56 : x
  2. Step 2: Convert to fraction form
    152,792/210,852.96 = 85,722.56/x
  3. Step 3: Cross multiply
    152,792x = 210,852.96 × 85,722.56
  4. Step 4: Simplify right side
    152,792x = 18,074,855,514.78
  5. Step 5: Solve for x
    x = 18,074,855,514.78/152,792
  6. Step 6: Final answer
    x = 118,297.13

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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.