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Finding the Fourth Proportional to 78,877.95, 118,246.56 and 28,946.46

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Solution

The fourth proportional to 78,877.95, 118,246.56 and 28,946.46 is: 43,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,877.95 : 118,246.56 = 28,946.46 : x
  2. Step 2: Convert to fraction form
    78,877.95/118,246.56 = 28,946.46/x
  3. Step 3: Cross multiply
    78,877.95x = 118,246.56 × 28,946.46
  4. Step 4: Simplify right side
    78,877.95x = 3,422,819,735.46
  5. Step 5: Solve for x
    x = 3,422,819,735.46/78,877.95
  6. Step 6: Final answer
    x = 43,393.87

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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.