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Finding the Fourth Proportional to 120,287.66, 180,430.68 and 94,014.50

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Solution

The fourth proportional to 120,287.66, 180,430.68 and 94,014.50 is: 141,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,287.66 : 180,430.68 = 94,014.50 : x
  2. Step 2: Convert to fraction form
    120,287.66/180,430.68 = 94,014.50/x
  3. Step 3: Cross multiply
    120,287.66x = 180,430.68 × 94,014.50
  4. Step 4: Simplify right side
    120,287.66x = 16,963,100,164.86
  5. Step 5: Solve for x
    x = 16,963,100,164.86/120,287.66
  6. Step 6: Final answer
    x = 141,021.12

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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.