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Finding the Fourth Proportional to 219,384.93, 329,132.81 and 101,139.31

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Solution

The fourth proportional to 219,384.93, 329,132.81 and 101,139.31 is: 151,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,384.93 : 329,132.81 = 101,139.31 : x
  2. Step 2: Convert to fraction form
    219,384.93/329,132.81 = 101,139.31/x
  3. Step 3: Cross multiply
    219,384.93x = 329,132.81 × 101,139.31
  4. Step 4: Simplify right side
    219,384.93x = 33,288,265,301.76
  5. Step 5: Solve for x
    x = 33,288,265,301.76/219,384.93
  6. Step 6: Final answer
    x = 151,734.51

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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.