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Finding the Fourth Proportional to 66,605, 99,907.50 and 17,357

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Solution

The fourth proportional to 66,605, 99,907.50 and 17,357 is: 26,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,605 : 99,907.50 = 17,357 : x
  2. Step 2: Convert to fraction form
    66,605/99,907.50 = 17,357/x
  3. Step 3: Cross multiply
    66,605x = 99,907.50 × 17,357
  4. Step 4: Simplify right side
    66,605x = 1,734,094,477.50
  5. Step 5: Solve for x
    x = 1,734,094,477.50/66,605
  6. Step 6: Final answer
    x = 26,035.50

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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.