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Finding the Fourth Proportional to 209,315.66, 288,820.56 and 123,291.77

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Solution

The fourth proportional to 209,315.66, 288,820.56 and 123,291.77 is: 170,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,315.66 : 288,820.56 = 123,291.77 : x
  2. Step 2: Convert to fraction form
    209,315.66/288,820.56 = 123,291.77/x
  3. Step 3: Cross multiply
    209,315.66x = 288,820.56 × 123,291.77
  4. Step 4: Simplify right side
    209,315.66x = 35,609,197,073.03
  5. Step 5: Solve for x
    x = 35,609,197,073.03/209,315.66
  6. Step 6: Final answer
    x = 170,122.00

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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.