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Finding the Fourth Proportional to 53,886.40, 80,823.90 and 14,447.50

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Solution

The fourth proportional to 53,886.40, 80,823.90 and 14,447.50 is: 21,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.40 : 80,823.90 = 14,447.50 : x
  2. Step 2: Convert to fraction form
    53,886.40/80,823.90 = 14,447.50/x
  3. Step 3: Cross multiply
    53,886.40x = 80,823.90 × 14,447.50
  4. Step 4: Simplify right side
    53,886.40x = 1,167,703,295.25
  5. Step 5: Solve for x
    x = 1,167,703,295.25/53,886.40
  6. Step 6: Final answer
    x = 21,669.72

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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.