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Finding the Fourth Proportional to 140,887.89, 194,422.23 and 77,224.32

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Solution

The fourth proportional to 140,887.89, 194,422.23 and 77,224.32 is: 106,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,887.89 : 194,422.23 = 77,224.32 : x
  2. Step 2: Convert to fraction form
    140,887.89/194,422.23 = 77,224.32/x
  3. Step 3: Cross multiply
    140,887.89x = 194,422.23 × 77,224.32
  4. Step 4: Simplify right side
    140,887.89x = 15,014,124,504.63
  5. Step 5: Solve for x
    x = 15,014,124,504.63/140,887.89
  6. Step 6: Final answer
    x = 106,567.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.