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Finding the Fourth Proportional to 67,038.93, 100,558.31 and 17,119

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Solution

The fourth proportional to 67,038.93, 100,558.31 and 17,119 is: 25,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,038.93 : 100,558.31 = 17,119 : x
  2. Step 2: Convert to fraction form
    67,038.93/100,558.31 = 17,119/x
  3. Step 3: Cross multiply
    67,038.93x = 100,558.31 × 17,119
  4. Step 4: Simplify right side
    67,038.93x = 1,721,457,666.09
  5. Step 5: Solve for x
    x = 1,721,457,666.09/67,038.93
  6. Step 6: Final answer
    x = 25,678.48

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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.