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Finding the Fourth Proportional to 97,367.52, 145,818 and 86,869.92

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Solution

The fourth proportional to 97,367.52, 145,818 and 86,869.92 is: 130,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,367.52 : 145,818 = 86,869.92 : x
  2. Step 2: Convert to fraction form
    97,367.52/145,818 = 86,869.92/x
  3. Step 3: Cross multiply
    97,367.52x = 145,818 × 86,869.92
  4. Step 4: Simplify right side
    97,367.52x = 12,667,197,994.56
  5. Step 5: Solve for x
    x = 12,667,197,994.56/97,367.52
  6. Step 6: Final answer
    x = 130,096.75

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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.