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Finding the Fourth Proportional to 46,429.89, 69,655.65 and 36,978

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Solution

The fourth proportional to 46,429.89, 69,655.65 and 36,978 is: 55,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,429.89 : 69,655.65 = 36,978 : x
  2. Step 2: Convert to fraction form
    46,429.89/69,655.65 = 36,978/x
  3. Step 3: Cross multiply
    46,429.89x = 69,655.65 × 36,978
  4. Step 4: Simplify right side
    46,429.89x = 2,575,726,625.70
  5. Step 5: Solve for x
    x = 2,575,726,625.70/46,429.89
  6. Step 6: Final answer
    x = 55,475.61

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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.