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Finding the Fourth Proportional to 356,842.21, 535,263.72 and 120,165.07

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Solution

The fourth proportional to 356,842.21, 535,263.72 and 120,165.07 is: 180,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,842.21 : 535,263.72 = 120,165.07 : x
  2. Step 2: Convert to fraction form
    356,842.21/535,263.72 = 120,165.07/x
  3. Step 3: Cross multiply
    356,842.21x = 535,263.72 × 120,165.07
  4. Step 4: Simplify right side
    356,842.21x = 64,320,002,382.26
  5. Step 5: Solve for x
    x = 64,320,002,382.26/356,842.21
  6. Step 6: Final answer
    x = 180,247.74

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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.