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Finding the Fourth Proportional to 109,811.80, 164,389.65 and 65,415.70

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Solution

The fourth proportional to 109,811.80, 164,389.65 and 65,415.70 is: 97,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,811.80 : 164,389.65 = 65,415.70 : x
  2. Step 2: Convert to fraction form
    109,811.80/164,389.65 = 65,415.70/x
  3. Step 3: Cross multiply
    109,811.80x = 164,389.65 × 65,415.70
  4. Step 4: Simplify right side
    109,811.80x = 10,753,664,027.51
  5. Step 5: Solve for x
    x = 10,753,664,027.51/109,811.80
  6. Step 6: Final answer
    x = 97,928.13

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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.