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Finding the Fourth Proportional to 73,009, 109,513.50 and 17,605

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Solution

The fourth proportional to 73,009, 109,513.50 and 17,605 is: 26,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,009 : 109,513.50 = 17,605 : x
  2. Step 2: Convert to fraction form
    73,009/109,513.50 = 17,605/x
  3. Step 3: Cross multiply
    73,009x = 109,513.50 × 17,605
  4. Step 4: Simplify right side
    73,009x = 1,927,985,167.50
  5. Step 5: Solve for x
    x = 1,927,985,167.50/73,009
  6. Step 6: Final answer
    x = 26,407.50

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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.