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Finding the Fourth Proportional to 132,493.84, 182,781.18 and 78,748.32

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Solution

The fourth proportional to 132,493.84, 182,781.18 and 78,748.32 is: 108,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,493.84 : 182,781.18 = 78,748.32 : x
  2. Step 2: Convert to fraction form
    132,493.84/182,781.18 = 78,748.32/x
  3. Step 3: Cross multiply
    132,493.84x = 182,781.18 × 78,748.32
  4. Step 4: Simplify right side
    132,493.84x = 14,393,710,852.62
  5. Step 5: Solve for x
    x = 14,393,710,852.62/132,493.84
  6. Step 6: Final answer
    x = 108,636.83

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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.