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Finding the Fourth Proportional to 42,305, 63,457.94 and 17,338.64

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Solution

The fourth proportional to 42,305, 63,457.94 and 17,338.64 is: 26,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,305 : 63,457.94 = 17,338.64 : x
  2. Step 2: Convert to fraction form
    42,305/63,457.94 = 17,338.64/x
  3. Step 3: Cross multiply
    42,305x = 63,457.94 × 17,338.64
  4. Step 4: Simplify right side
    42,305x = 1,100,274,376.80
  5. Step 5: Solve for x
    x = 1,100,274,376.80/42,305
  6. Step 6: Final answer
    x = 26,008.14

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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.