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Finding the Fourth Proportional to 120,432.66, 180,659.31 and 31,686.63

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Solution

The fourth proportional to 120,432.66, 180,659.31 and 31,686.63 is: 47,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,432.66 : 180,659.31 = 31,686.63 : x
  2. Step 2: Convert to fraction form
    120,432.66/180,659.31 = 31,686.63/x
  3. Step 3: Cross multiply
    120,432.66x = 180,659.31 × 31,686.63
  4. Step 4: Simplify right side
    120,432.66x = 5,724,484,712.03
  5. Step 5: Solve for x
    x = 5,724,484,712.03/120,432.66
  6. Step 6: Final answer
    x = 47,532.66

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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.