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Finding the Fourth Proportional to 86,906.80, 130,408.80 and 36,978.40

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Solution

The fourth proportional to 86,906.80, 130,408.80 and 36,978.40 is: 55,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,906.80 : 130,408.80 = 36,978.40 : x
  2. Step 2: Convert to fraction form
    86,906.80/130,408.80 = 36,978.40/x
  3. Step 3: Cross multiply
    86,906.80x = 130,408.80 × 36,978.40
  4. Step 4: Simplify right side
    86,906.80x = 4,822,308,769.92
  5. Step 5: Solve for x
    x = 4,822,308,769.92/86,906.80
  6. Step 6: Final answer
    x = 55,488.28

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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.