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Finding the Fourth Proportional to 51,840.78, 71,539.83 and 29,484.78

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Solution

The fourth proportional to 51,840.78, 71,539.83 and 29,484.78 is: 40,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.78 : 71,539.83 = 29,484.78 : x
  2. Step 2: Convert to fraction form
    51,840.78/71,539.83 = 29,484.78/x
  3. Step 3: Cross multiply
    51,840.78x = 71,539.83 × 29,484.78
  4. Step 4: Simplify right side
    51,840.78x = 2,109,336,148.79
  5. Step 5: Solve for x
    x = 2,109,336,148.79/51,840.78
  6. Step 6: Final answer
    x = 40,688.74

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1.5x scale

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.