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Finding the Fourth Proportional to 74,457.78, 102,775.68 and 47,672.43

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Solution

The fourth proportional to 74,457.78, 102,775.68 and 47,672.43 is: 65,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,457.78 : 102,775.68 = 47,672.43 : x
  2. Step 2: Convert to fraction form
    74,457.78/102,775.68 = 47,672.43/x
  3. Step 3: Cross multiply
    74,457.78x = 102,775.68 × 47,672.43
  4. Step 4: Simplify right side
    74,457.78x = 4,899,566,410.50
  5. Step 5: Solve for x
    x = 4,899,566,410.50/74,457.78
  6. Step 6: Final answer
    x = 65,803.28

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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.