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Finding the Fourth Proportional to 120,435.64, 180,663.80 and 31,689.64

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Solution

The fourth proportional to 120,435.64, 180,663.80 and 31,689.64 is: 47,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,435.64 : 180,663.80 = 31,689.64 : x
  2. Step 2: Convert to fraction form
    120,435.64/180,663.80 = 31,689.64/x
  3. Step 3: Cross multiply
    120,435.64x = 180,663.80 × 31,689.64
  4. Step 4: Simplify right side
    120,435.64x = 5,725,170,783.03
  5. Step 5: Solve for x
    x = 5,725,170,783.03/120,435.64
  6. Step 6: Final answer
    x = 47,537.18

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1.5x scale

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.