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Finding the Fourth Proportional to 70,464.94, 105,699.33 and 20,543.83

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Solution

The fourth proportional to 70,464.94, 105,699.33 and 20,543.83 is: 30,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464.94 : 105,699.33 = 20,543.83 : x
  2. Step 2: Convert to fraction form
    70,464.94/105,699.33 = 20,543.83/x
  3. Step 3: Cross multiply
    70,464.94x = 105,699.33 × 20,543.83
  4. Step 4: Simplify right side
    70,464.94x = 2,171,468,802.39
  5. Step 5: Solve for x
    x = 2,171,468,802.39/70,464.94
  6. Step 6: Final answer
    x = 30,816.30

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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.