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Finding the Fourth Proportional to 78,671.86, 118,056.99 and 31,924.73

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Solution

The fourth proportional to 78,671.86, 118,056.99 and 31,924.73 is: 47,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.86 : 118,056.99 = 31,924.73 : x
  2. Step 2: Convert to fraction form
    78,671.86/118,056.99 = 31,924.73/x
  3. Step 3: Cross multiply
    78,671.86x = 118,056.99 × 31,924.73
  4. Step 4: Simplify right side
    78,671.86x = 3,768,937,945.22
  5. Step 5: Solve for x
    x = 3,768,937,945.22/78,671.86
  6. Step 6: Final answer
    x = 47,907.07

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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.