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Finding the Fourth Proportional to 42,684, 58,807.77 and 29,751.08

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Solution

The fourth proportional to 42,684, 58,807.77 and 29,751.08 is: 40,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684 : 58,807.77 = 29,751.08 : x
  2. Step 2: Convert to fraction form
    42,684/58,807.77 = 29,751.08/x
  3. Step 3: Cross multiply
    42,684x = 58,807.77 × 29,751.08
  4. Step 4: Simplify right side
    42,684x = 1,749,594,375.85
  5. Step 5: Solve for x
    x = 1,749,594,375.85/42,684
  6. Step 6: Final answer
    x = 40,989.47

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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.