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Finding the Fourth Proportional to 120,653.76, 180,642.96 and 90,978.72

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Solution

The fourth proportional to 120,653.76, 180,642.96 and 90,978.72 is: 136,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,653.76 : 180,642.96 = 90,978.72 : x
  2. Step 2: Convert to fraction form
    120,653.76/180,642.96 = 90,978.72/x
  3. Step 3: Cross multiply
    120,653.76x = 180,642.96 × 90,978.72
  4. Step 4: Simplify right side
    120,653.76x = 16,434,665,277.81
  5. Step 5: Solve for x
    x = 16,434,665,277.81/120,653.76
  6. Step 6: Final answer
    x = 136,213.45

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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.