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Finding the Fourth Proportional to 78,368.14, 108,178.86 and 52,889.50

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Solution

The fourth proportional to 78,368.14, 108,178.86 and 52,889.50 is: 73,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.14 : 108,178.86 = 52,889.50 : x
  2. Step 2: Convert to fraction form
    78,368.14/108,178.86 = 52,889.50/x
  3. Step 3: Cross multiply
    78,368.14x = 108,178.86 × 52,889.50
  4. Step 4: Simplify right side
    78,368.14x = 5,721,525,815.97
  5. Step 5: Solve for x
    x = 5,721,525,815.97/78,368.14
  6. Step 6: Final answer
    x = 73,008.31

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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.