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Finding the Fourth Proportional to 102,335.88, 152,784.28 and 78,193.84

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Solution

The fourth proportional to 102,335.88, 152,784.28 and 78,193.84 is: 116,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335.88 : 152,784.28 = 78,193.84 : x
  2. Step 2: Convert to fraction form
    102,335.88/152,784.28 = 78,193.84/x
  3. Step 3: Cross multiply
    102,335.88x = 152,784.28 × 78,193.84
  4. Step 4: Simplify right side
    102,335.88x = 11,946,789,544.84
  5. Step 5: Solve for x
    x = 11,946,789,544.84/102,335.88
  6. Step 6: Final answer
    x = 116,740.97

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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.