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Finding the Fourth Proportional to 78,877.35, 118,239.48 and 31,478.76

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Solution

The fourth proportional to 78,877.35, 118,239.48 and 31,478.76 is: 47,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,877.35 : 118,239.48 = 31,478.76 : x
  2. Step 2: Convert to fraction form
    78,877.35/118,239.48 = 31,478.76/x
  3. Step 3: Cross multiply
    78,877.35x = 118,239.48 × 31,478.76
  4. Step 4: Simplify right side
    78,877.35x = 3,722,032,213.44
  5. Step 5: Solve for x
    x = 3,722,032,213.44/78,877.35
  6. Step 6: Final answer
    x = 47,187.59

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1.5x scale

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.