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Finding the Fourth Proportional to 209,921.79, 289,681.59 and 119,265.78

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Solution

The fourth proportional to 209,921.79, 289,681.59 and 119,265.78 is: 164,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,921.79 : 289,681.59 = 119,265.78 : x
  2. Step 2: Convert to fraction form
    209,921.79/289,681.59 = 119,265.78/x
  3. Step 3: Cross multiply
    209,921.79x = 289,681.59 × 119,265.78
  4. Step 4: Simplify right side
    209,921.79x = 34,549,100,782.99
  5. Step 5: Solve for x
    x = 34,549,100,782.99/209,921.79
  6. Step 6: Final answer
    x = 164,580.82

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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.