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Finding the Fourth Proportional to 125,928, 173,780.64 and 69,338.16

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Solution

The fourth proportional to 125,928, 173,780.64 and 69,338.16 is: 95,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,928 : 173,780.64 = 69,338.16 : x
  2. Step 2: Convert to fraction form
    125,928/173,780.64 = 69,338.16/x
  3. Step 3: Cross multiply
    125,928x = 173,780.64 × 69,338.16
  4. Step 4: Simplify right side
    125,928x = 12,049,629,821.22
  5. Step 5: Solve for x
    x = 12,049,629,821.22/125,928
  6. Step 6: Final answer
    x = 95,686.66

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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.