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Finding the Fourth Proportional to 119,153.52, 164,322 and 80,970.06

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Solution

The fourth proportional to 119,153.52, 164,322 and 80,970.06 is: 111,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,153.52 : 164,322 = 80,970.06 : x
  2. Step 2: Convert to fraction form
    119,153.52/164,322 = 80,970.06/x
  3. Step 3: Cross multiply
    119,153.52x = 164,322 × 80,970.06
  4. Step 4: Simplify right side
    119,153.52x = 13,305,162,199.32
  5. Step 5: Solve for x
    x = 13,305,162,199.32/119,153.52
  6. Step 6: Final answer
    x = 111,664.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.