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Finding the Fourth Proportional to 101,784.66, 152,603.19 and 68,421.98

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Solution

The fourth proportional to 101,784.66, 152,603.19 and 68,421.98 is: 102,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.66 : 152,603.19 = 68,421.98 : x
  2. Step 2: Convert to fraction form
    101,784.66/152,603.19 = 68,421.98/x
  3. Step 3: Cross multiply
    101,784.66x = 152,603.19 × 68,421.98
  4. Step 4: Simplify right side
    101,784.66x = 10,441,412,414.12
  5. Step 5: Solve for x
    x = 10,441,412,414.12/101,784.66
  6. Step 6: Final answer
    x = 102,583.36

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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.