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Finding the Fourth Proportional to 103,408.40, 155,227.80 and 56,752.40

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Solution

The fourth proportional to 103,408.40, 155,227.80 and 56,752.40 is: 85,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408.40 : 155,227.80 = 56,752.40 : x
  2. Step 2: Convert to fraction form
    103,408.40/155,227.80 = 56,752.40/x
  3. Step 3: Cross multiply
    103,408.40x = 155,227.80 × 56,752.40
  4. Step 4: Simplify right side
    103,408.40x = 8,809,550,196.72
  5. Step 5: Solve for x
    x = 8,809,550,196.72/103,408.40
  6. Step 6: Final answer
    x = 85,191.82

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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.