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Finding the Fourth Proportional to 103,215.69, 154,604.82 and 77,977.71

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Solution

The fourth proportional to 103,215.69, 154,604.82 and 77,977.71 is: 116,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,215.69 : 154,604.82 = 77,977.71 : x
  2. Step 2: Convert to fraction form
    103,215.69/154,604.82 = 77,977.71/x
  3. Step 3: Cross multiply
    103,215.69x = 154,604.82 × 77,977.71
  4. Step 4: Simplify right side
    103,215.69x = 12,055,729,818.56
  5. Step 5: Solve for x
    x = 12,055,729,818.56/103,215.69
  6. Step 6: Final answer
    x = 116,801.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.