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Finding the Fourth Proportional to 109,686.70, 164,530.05 and 26,580.70

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Solution

The fourth proportional to 109,686.70, 164,530.05 and 26,580.70 is: 39,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,686.70 : 164,530.05 = 26,580.70 : x
  2. Step 2: Convert to fraction form
    109,686.70/164,530.05 = 26,580.70/x
  3. Step 3: Cross multiply
    109,686.70x = 164,530.05 × 26,580.70
  4. Step 4: Simplify right side
    109,686.70x = 4,373,323,900.04
  5. Step 5: Solve for x
    x = 4,373,323,900.04/109,686.70
  6. Step 6: Final answer
    x = 39,871.05

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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.