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Finding the Fourth Proportional to 74,511.50, 102,829.90 and 42,679.30

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Solution

The fourth proportional to 74,511.50, 102,829.90 and 42,679.30 is: 58,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,511.50 : 102,829.90 = 42,679.30 : x
  2. Step 2: Convert to fraction form
    74,511.50/102,829.90 = 42,679.30/x
  3. Step 3: Cross multiply
    74,511.50x = 102,829.90 × 42,679.30
  4. Step 4: Simplify right side
    74,511.50x = 4,388,708,151.07
  5. Step 5: Solve for x
    x = 4,388,708,151.07/74,511.50
  6. Step 6: Final answer
    x = 58,899.74

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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.