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Finding the Fourth Proportional to 209,802.80, 289,529.16 and 124,923.44

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Solution

The fourth proportional to 209,802.80, 289,529.16 and 124,923.44 is: 172,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802.80 : 289,529.16 = 124,923.44 : x
  2. Step 2: Convert to fraction form
    209,802.80/289,529.16 = 124,923.44/x
  3. Step 3: Cross multiply
    209,802.80x = 289,529.16 × 124,923.44
  4. Step 4: Simplify right side
    209,802.80x = 36,168,978,647.51
  5. Step 5: Solve for x
    x = 36,168,978,647.51/209,802.80
  6. Step 6: Final answer
    x = 172,395.12

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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.