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Finding the Fourth Proportional to 147,748, 203,821.20 and 87,302.56

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Solution

The fourth proportional to 147,748, 203,821.20 and 87,302.56 is: 120,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,748 : 203,821.20 = 87,302.56 : x
  2. Step 2: Convert to fraction form
    147,748/203,821.20 = 87,302.56/x
  3. Step 3: Cross multiply
    147,748x = 203,821.20 × 87,302.56
  4. Step 4: Simplify right side
    147,748x = 17,794,112,542.27
  5. Step 5: Solve for x
    x = 17,794,112,542.27/147,748
  6. Step 6: Final answer
    x = 120,435.56

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