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Finding the Fourth Proportional to 251,729.56, 347,386.89 and 138,551.50

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Solution

The fourth proportional to 251,729.56, 347,386.89 and 138,551.50 is: 191,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,729.56 : 347,386.89 = 138,551.50 : x
  2. Step 2: Convert to fraction form
    251,729.56/347,386.89 = 138,551.50/x
  3. Step 3: Cross multiply
    251,729.56x = 347,386.89 × 138,551.50
  4. Step 4: Simplify right side
    251,729.56x = 48,130,974,689.84
  5. Step 5: Solve for x
    x = 48,130,974,689.84/251,729.56
  6. Step 6: Final answer
    x = 191,201.12

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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.