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Finding the Fourth Proportional to 53,671.30, 80,438.10 and 29,978.80

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Solution

The fourth proportional to 53,671.30, 80,438.10 and 29,978.80 is: 44,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,671.30 : 80,438.10 = 29,978.80 : x
  2. Step 2: Convert to fraction form
    53,671.30/80,438.10 = 29,978.80/x
  3. Step 3: Cross multiply
    53,671.30x = 80,438.10 × 29,978.80
  4. Step 4: Simplify right side
    53,671.30x = 2,411,437,712.28
  5. Step 5: Solve for x
    x = 2,411,437,712.28/53,671.30
  6. Step 6: Final answer
    x = 44,929.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.