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Finding the Fourth Proportional to 109,376.80, 164,065.20 and 64,980.70

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Solution

The fourth proportional to 109,376.80, 164,065.20 and 64,980.70 is: 97,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,376.80 : 164,065.20 = 64,980.70 : x
  2. Step 2: Convert to fraction form
    109,376.80/164,065.20 = 64,980.70/x
  3. Step 3: Cross multiply
    109,376.80x = 164,065.20 × 64,980.70
  4. Step 4: Simplify right side
    109,376.80x = 10,661,071,541.64
  5. Step 5: Solve for x
    x = 10,661,071,541.64/109,376.80
  6. Step 6: Final answer
    x = 97,471.05

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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.