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Finding the Fourth Proportional to 120,501.33, 180,860.42 and 64,389.41

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Solution

The fourth proportional to 120,501.33, 180,860.42 and 64,389.41 is: 96,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,501.33 : 180,860.42 = 64,389.41 : x
  2. Step 2: Convert to fraction form
    120,501.33/180,860.42 = 64,389.41/x
  3. Step 3: Cross multiply
    120,501.33x = 180,860.42 × 64,389.41
  4. Step 4: Simplify right side
    120,501.33x = 11,645,494,509.90
  5. Step 5: Solve for x
    x = 11,645,494,509.90/120,501.33
  6. Step 6: Final answer
    x = 96,642.04

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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.