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Finding the Fourth Proportional to 103,700.40, 155,435.40 and 56,986.80

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Solution

The fourth proportional to 103,700.40, 155,435.40 and 56,986.80 is: 85,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,700.40 : 155,435.40 = 56,986.80 : x
  2. Step 2: Convert to fraction form
    103,700.40/155,435.40 = 56,986.80/x
  3. Step 3: Cross multiply
    103,700.40x = 155,435.40 × 56,986.80
  4. Step 4: Simplify right side
    103,700.40x = 8,857,766,052.72
  5. Step 5: Solve for x
    x = 8,857,766,052.72/103,700.40
  6. Step 6: Final answer
    x = 85,416.89

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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.