Home / 109,971.20-164,956.80-97,505.30

Finding the Fourth Proportional to 109,971.20, 164,956.80 and 97,505.30

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Solution

The fourth proportional to 109,971.20, 164,956.80 and 97,505.30 is: 146,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,971.20 : 164,956.80 = 97,505.30 : x
  2. Step 2: Convert to fraction form
    109,971.20/164,956.80 = 97,505.30/x
  3. Step 3: Cross multiply
    109,971.20x = 164,956.80 × 97,505.30
  4. Step 4: Simplify right side
    109,971.20x = 16,084,162,271.04
  5. Step 5: Solve for x
    x = 16,084,162,271.04/109,971.20
  6. Step 6: Final answer
    x = 146,257.95

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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.