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Finding the Fourth Proportional to 180,323.64, 270,510.06 and 75,118

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Solution

The fourth proportional to 180,323.64, 270,510.06 and 75,118 is: 112,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,323.64 : 270,510.06 = 75,118 : x
  2. Step 2: Convert to fraction form
    180,323.64/270,510.06 = 75,118/x
  3. Step 3: Cross multiply
    180,323.64x = 270,510.06 × 75,118
  4. Step 4: Simplify right side
    180,323.64x = 20,320,174,687.08
  5. Step 5: Solve for x
    x = 20,320,174,687.08/180,323.64
  6. Step 6: Final answer
    x = 112,687.25

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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.