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Finding the Fourth Proportional to 45,205, 67,807.50 and 17,503

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Solution

The fourth proportional to 45,205, 67,807.50 and 17,503 is: 26,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205 : 67,807.50 = 17,503 : x
  2. Step 2: Convert to fraction form
    45,205/67,807.50 = 17,503/x
  3. Step 3: Cross multiply
    45,205x = 67,807.50 × 17,503
  4. Step 4: Simplify right side
    45,205x = 1,186,834,672.50
  5. Step 5: Solve for x
    x = 1,186,834,672.50/45,205
  6. Step 6: Final answer
    x = 26,254.50

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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.