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Finding the Fourth Proportional to 128,578.66, 177,434.49 and 71,219.86

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Solution

The fourth proportional to 128,578.66, 177,434.49 and 71,219.86 is: 98,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,578.66 : 177,434.49 = 71,219.86 : x
  2. Step 2: Convert to fraction form
    128,578.66/177,434.49 = 71,219.86/x
  3. Step 3: Cross multiply
    128,578.66x = 177,434.49 × 71,219.86
  4. Step 4: Simplify right side
    128,578.66x = 12,636,859,536.97
  5. Step 5: Solve for x
    x = 12,636,859,536.97/128,578.66
  6. Step 6: Final answer
    x = 98,281.16

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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.