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Finding the Fourth Proportional to 47,064.88, 64,980 and 29,178.96

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Solution

The fourth proportional to 47,064.88, 64,980 and 29,178.96 is: 40,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064.88 : 64,980 = 29,178.96 : x
  2. Step 2: Convert to fraction form
    47,064.88/64,980 = 29,178.96/x
  3. Step 3: Cross multiply
    47,064.88x = 64,980 × 29,178.96
  4. Step 4: Simplify right side
    47,064.88x = 1,896,048,820.80
  5. Step 5: Solve for x
    x = 1,896,048,820.80/47,064.88
  6. Step 6: Final answer
    x = 40,285.85

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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.