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Finding the Fourth Proportional to 105,781.40, 158,698.37 and 52,498.39

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Solution

The fourth proportional to 105,781.40, 158,698.37 and 52,498.39 is: 78,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,781.40 : 158,698.37 = 52,498.39 : x
  2. Step 2: Convert to fraction form
    105,781.40/158,698.37 = 52,498.39/x
  3. Step 3: Cross multiply
    105,781.40x = 158,698.37 × 52,498.39
  4. Step 4: Simplify right side
    105,781.40x = 8,331,408,655.12
  5. Step 5: Solve for x
    x = 8,331,408,655.12/105,781.40
  6. Step 6: Final answer
    x = 78,760.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.