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Finding the Fourth Proportional to 78,878.44, 117,713.94 and 70,463.96

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Solution

The fourth proportional to 78,878.44, 117,713.94 and 70,463.96 is: 105,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.44 : 117,713.94 = 70,463.96 : x
  2. Step 2: Convert to fraction form
    78,878.44/117,713.94 = 70,463.96/x
  3. Step 3: Cross multiply
    78,878.44x = 117,713.94 × 70,463.96
  4. Step 4: Simplify right side
    78,878.44x = 8,294,590,359.60
  5. Step 5: Solve for x
    x = 8,294,590,359.60/78,878.44
  6. Step 6: Final answer
    x = 105,156.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.