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Finding the Fourth Proportional to 209,876.61, 289,637.53 and 119,247.94

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Solution

The fourth proportional to 209,876.61, 289,637.53 and 119,247.94 is: 164,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.61 : 289,637.53 = 119,247.94 : x
  2. Step 2: Convert to fraction form
    209,876.61/289,637.53 = 119,247.94/x
  3. Step 3: Cross multiply
    209,876.61x = 289,637.53 × 119,247.94
  4. Step 4: Simplify right side
    209,876.61x = 34,538,677,351.00
  5. Step 5: Solve for x
    x = 34,538,677,351.00/209,876.61
  6. Step 6: Final answer
    x = 164,566.59

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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.