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Finding the Fourth Proportional to 253,698.54, 380,565.54 and 101,895.63

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Solution

The fourth proportional to 253,698.54, 380,565.54 and 101,895.63 is: 152,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,698.54 : 380,565.54 = 101,895.63 : x
  2. Step 2: Convert to fraction form
    253,698.54/380,565.54 = 101,895.63/x
  3. Step 3: Cross multiply
    253,698.54x = 380,565.54 × 101,895.63
  4. Step 4: Simplify right side
    253,698.54x = 38,777,965,454.59
  5. Step 5: Solve for x
    x = 38,777,965,454.59/253,698.54
  6. Step 6: Final answer
    x = 152,850.57

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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.