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Finding the Fourth Proportional to 215,712.76, 323,569.14 and 65,953.05

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Solution

The fourth proportional to 215,712.76, 323,569.14 and 65,953.05 is: 98,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,712.76 : 323,569.14 = 65,953.05 : x
  2. Step 2: Convert to fraction form
    215,712.76/323,569.14 = 65,953.05/x
  3. Step 3: Cross multiply
    215,712.76x = 323,569.14 × 65,953.05
  4. Step 4: Simplify right side
    215,712.76x = 21,340,372,491.98
  5. Step 5: Solve for x
    x = 21,340,372,491.98/215,712.76
  6. Step 6: Final answer
    x = 98,929.58

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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.