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Finding the Fourth Proportional to 48,800.90, 67,345.77 and 28,658

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Solution

The fourth proportional to 48,800.90, 67,345.77 and 28,658 is: 39,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,800.90 : 67,345.77 = 28,658 : x
  2. Step 2: Convert to fraction form
    48,800.90/67,345.77 = 28,658/x
  3. Step 3: Cross multiply
    48,800.90x = 67,345.77 × 28,658
  4. Step 4: Simplify right side
    48,800.90x = 1,929,995,076.66
  5. Step 5: Solve for x
    x = 1,929,995,076.66/48,800.90
  6. Step 6: Final answer
    x = 39,548.35

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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.