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Finding the Fourth Proportional to 52,403.60, 78,605.40 and 31,408.40

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Solution

The fourth proportional to 52,403.60, 78,605.40 and 31,408.40 is: 47,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,403.60 : 78,605.40 = 31,408.40 : x
  2. Step 2: Convert to fraction form
    52,403.60/78,605.40 = 31,408.40/x
  3. Step 3: Cross multiply
    52,403.60x = 78,605.40 × 31,408.40
  4. Step 4: Simplify right side
    52,403.60x = 2,468,869,845.36
  5. Step 5: Solve for x
    x = 2,468,869,845.36/52,403.60
  6. Step 6: Final answer
    x = 47,112.60

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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.