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Finding the Fourth Proportional to 109,953.70, 164,930.55 and 97,487.80

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Solution

The fourth proportional to 109,953.70, 164,930.55 and 97,487.80 is: 146,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.70 : 164,930.55 = 97,487.80 : x
  2. Step 2: Convert to fraction form
    109,953.70/164,930.55 = 97,487.80/x
  3. Step 3: Cross multiply
    109,953.70x = 164,930.55 × 97,487.80
  4. Step 4: Simplify right side
    109,953.70x = 16,078,716,472.29
  5. Step 5: Solve for x
    x = 16,078,716,472.29/109,953.70
  6. Step 6: Final answer
    x = 146,231.70

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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.