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Finding the Fourth Proportional to 109,808.40, 164,712.60 and 65,412.30

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Solution

The fourth proportional to 109,808.40, 164,712.60 and 65,412.30 is: 98,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808.40 : 164,712.60 = 65,412.30 : x
  2. Step 2: Convert to fraction form
    109,808.40/164,712.60 = 65,412.30/x
  3. Step 3: Cross multiply
    109,808.40x = 164,712.60 × 65,412.30
  4. Step 4: Simplify right side
    109,808.40x = 10,774,230,004.98
  5. Step 5: Solve for x
    x = 10,774,230,004.98/109,808.40
  6. Step 6: Final answer
    x = 98,118.45

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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.