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Finding the Fourth Proportional to 39,780.80, 59,656.80 and 16,078.40

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Solution

The fourth proportional to 39,780.80, 59,656.80 and 16,078.40 is: 24,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780.80 : 59,656.80 = 16,078.40 : x
  2. Step 2: Convert to fraction form
    39,780.80/59,656.80 = 16,078.40/x
  3. Step 3: Cross multiply
    39,780.80x = 59,656.80 × 16,078.40
  4. Step 4: Simplify right side
    39,780.80x = 959,185,893.12
  5. Step 5: Solve for x
    x = 959,185,893.12/39,780.80
  6. Step 6: Final answer
    x = 24,111.78

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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.