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Finding the Fourth Proportional to 210,035.43, 289,866.11 and 119,419.83

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Solution

The fourth proportional to 210,035.43, 289,866.11 and 119,419.83 is: 164,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,035.43 : 289,866.11 = 119,419.83 : x
  2. Step 2: Convert to fraction form
    210,035.43/289,866.11 = 119,419.83/x
  3. Step 3: Cross multiply
    210,035.43x = 289,866.11 × 119,419.83
  4. Step 4: Simplify right side
    210,035.43x = 34,615,760,981.86
  5. Step 5: Solve for x
    x = 34,615,760,981.86/210,035.43
  6. Step 6: Final answer
    x = 164,809.15

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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.