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Finding the Fourth Proportional to 120,420.63, 180,578.57 and 64,248.21

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Solution

The fourth proportional to 120,420.63, 180,578.57 and 64,248.21 is: 96,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420.63 : 180,578.57 = 64,248.21 : x
  2. Step 2: Convert to fraction form
    120,420.63/180,578.57 = 64,248.21/x
  3. Step 3: Cross multiply
    120,420.63x = 180,578.57 × 64,248.21
  4. Step 4: Simplify right side
    120,420.63x = 11,601,849,565.62
  5. Step 5: Solve for x
    x = 11,601,849,565.62/120,420.63
  6. Step 6: Final answer
    x = 96,344.37

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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.