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Finding the Fourth Proportional to 74,780.84, 103,197.62 and 40,789.40

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Solution

The fourth proportional to 74,780.84, 103,197.62 and 40,789.40 is: 56,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,780.84 : 103,197.62 = 40,789.40 : x
  2. Step 2: Convert to fraction form
    74,780.84/103,197.62 = 40,789.40/x
  3. Step 3: Cross multiply
    74,780.84x = 103,197.62 × 40,789.40
  4. Step 4: Simplify right side
    74,780.84x = 4,209,369,001.23
  5. Step 5: Solve for x
    x = 4,209,369,001.23/74,780.84
  6. Step 6: Final answer
    x = 56,289.41

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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.