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Finding the Fourth Proportional to 97,709.70, 146,564.55 and 86,823.30

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Solution

The fourth proportional to 97,709.70, 146,564.55 and 86,823.30 is: 130,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,709.70 : 146,564.55 = 86,823.30 : x
  2. Step 2: Convert to fraction form
    97,709.70/146,564.55 = 86,823.30/x
  3. Step 3: Cross multiply
    97,709.70x = 146,564.55 × 86,823.30
  4. Step 4: Simplify right side
    97,709.70x = 12,725,217,894.02
  5. Step 5: Solve for x
    x = 12,725,217,894.02/97,709.70
  6. Step 6: Final answer
    x = 130,234.95

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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.