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Finding the Fourth Proportional to 215,119.48, 322,678.87 and 102,458

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Solution

The fourth proportional to 215,119.48, 322,678.87 and 102,458 is: 153,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,119.48 : 322,678.87 = 102,458 : x
  2. Step 2: Convert to fraction form
    215,119.48/322,678.87 = 102,458/x
  3. Step 3: Cross multiply
    215,119.48x = 322,678.87 × 102,458
  4. Step 4: Simplify right side
    215,119.48x = 33,061,031,662.46
  5. Step 5: Solve for x
    x = 33,061,031,662.46/215,119.48
  6. Step 6: Final answer
    x = 153,686.83

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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.