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Finding the Fourth Proportional to 120,274.86, 180,215.28 and 64,055.28

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Solution

The fourth proportional to 120,274.86, 180,215.28 and 64,055.28 is: 95,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,274.86 : 180,215.28 = 64,055.28 : x
  2. Step 2: Convert to fraction form
    120,274.86/180,215.28 = 64,055.28/x
  3. Step 3: Cross multiply
    120,274.86x = 180,215.28 × 64,055.28
  4. Step 4: Simplify right side
    120,274.86x = 11,543,740,220.68
  5. Step 5: Solve for x
    x = 11,543,740,220.68/120,274.86
  6. Step 6: Final answer
    x = 95,978.00

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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.