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Finding the Fourth Proportional to 86,819.60, 130,235.80 and 31,408.40

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Solution

The fourth proportional to 86,819.60, 130,235.80 and 31,408.40 is: 47,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,819.60 : 130,235.80 = 31,408.40 : x
  2. Step 2: Convert to fraction form
    86,819.60/130,235.80 = 31,408.40/x
  3. Step 3: Cross multiply
    86,819.60x = 130,235.80 × 31,408.40
  4. Step 4: Simplify right side
    86,819.60x = 4,090,498,100.72
  5. Step 5: Solve for x
    x = 4,090,498,100.72/86,819.60
  6. Step 6: Final answer
    x = 47,114.92

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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.