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Finding the Fourth Proportional to 210,632.69, 290,652.54 and 119,981.54

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Solution

The fourth proportional to 210,632.69, 290,652.54 and 119,981.54 is: 165,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,632.69 : 290,652.54 = 119,981.54 : x
  2. Step 2: Convert to fraction form
    210,632.69/290,652.54 = 119,981.54/x
  3. Step 3: Cross multiply
    210,632.69x = 290,652.54 × 119,981.54
  4. Step 4: Simplify right side
    210,632.69x = 34,872,937,900.85
  5. Step 5: Solve for x
    x = 34,872,937,900.85/210,632.69
  6. Step 6: Final answer
    x = 165,562.80

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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.