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Finding the Fourth Proportional to 345,993.47, 519,005.81 and 106,089.84

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Solution

The fourth proportional to 345,993.47, 519,005.81 and 106,089.84 is: 159,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,993.47 : 519,005.81 = 106,089.84 : x
  2. Step 2: Convert to fraction form
    345,993.47/519,005.81 = 106,089.84/x
  3. Step 3: Cross multiply
    345,993.47x = 519,005.81 × 106,089.84
  4. Step 4: Simplify right side
    345,993.47x = 55,061,243,341.97
  5. Step 5: Solve for x
    x = 55,061,243,341.97/345,993.47
  6. Step 6: Final answer
    x = 159,139.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.