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Finding the Fourth Proportional to 78,125.50, 107,815.28 and 47,893.40

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Solution

The fourth proportional to 78,125.50, 107,815.28 and 47,893.40 is: 66,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.50 : 107,815.28 = 47,893.40 : x
  2. Step 2: Convert to fraction form
    78,125.50/107,815.28 = 47,893.40/x
  3. Step 3: Cross multiply
    78,125.50x = 107,815.28 × 47,893.40
  4. Step 4: Simplify right side
    78,125.50x = 5,163,640,331.15
  5. Step 5: Solve for x
    x = 5,163,640,331.15/78,125.50
  6. Step 6: Final answer
    x = 66,094.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.